Changes: 113

Revision as of 11:35, 3 December 2013

113

Basic Information

Cardinal Number

one hundred thirteen

Ordinal Number

thirteenth

Roman Numeral

XIII

Greek Numeral

ΡΙΓ´

Factorization

113

Different Representations

Binary Form

1110001₂

Ternary Form

11012₃

Quaternary Form

1301₄

Quinary Form

423₅

Senary Form

305₆

Septenary Form

221₇

Octal Form

161₈

Nonary Form

135₉

Undecimal Form

A3₁₁

Duodecimal Form

95₁₂

Tridecimal Form

89₁₃

Quattuordecimal Form

81₁₄

Quindecimal Form

78₁₅

Hexadecimal Form

71₁₆

Septendecimal Form

6B₁₇

Octodecimal Form

65₁₈

Novemdecimal Form

5I₁₉

Vigesimal Form

5D₂₀

Unvigesimal Form

58₂₁

Duovigesimal Form

53₂₂

Trevigesimal Form

4L₂₃

Quattuorvigesimal Form

4H₂₄

Quinvigesimal Form

4D₂₅

Hexavigesimal Form

49₂₆

Septenvigesimal Form

45₂₇

Octovigesimal Form

41₂₈

Novemvigesimal Form

3Q₂₉

Trigesimal Form

3N₃₀

Untrigesimal Form

3K₃₁

Duotrigesimal Form

3H₃₂

Tretrigesimal Form

3E₃₃

Quattuortrigesimal Form

3B₃₄

Quintrigesimal Form

38₃₅

Hexatrigesimal Form

35₃₆

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[[109]]	113	[[127]]

113 is a prime number from 1-100. 113 is prime because it only has 2 factors, 1 and 113. It is the 30th prime number, and the fifth prime number between 101 to 200.

Proofs

113 is divisible by 1.
It is not divisible by 2 ~ 112.
113 can be divided by itself
Thefore it has 2 factors.

Relationship with other odd numbers

The numbers before

The previous odd number, 111, is not a prime number. It can be factorized into 3 x 37.
The odd number previous to 111 is 109. 109 is a prime number.
109 and 113 are four numbers apart; therefore, they are cousin primes.
The odd number previous to 109 is 107. 107 is a prime number.
- 107 and 113 are six numbers apart; therefore, they are sexy primes.

The numbers after

The next prime number is 127. It features a large gap of 14 numbers. All numbers between are composite.
- Among them, 115 is divisible by 5.
- 117 is divisible by 3.
- 119 is divisible by 7.
- 121 is divisible by 11. In addition, it is a square number.
- 123 is divisible by 3.
- 125 is divisible by 5.

Prime Numbers 1-1,000

1-100
1-25	2 • 3 • 5 • 7 • 11 • 13 • 17 • 19 • 23
26-50	29 • 31 • 37 • 41 • 43 • 47
51-75	53 • 59 • 61 • 67 • 71 • 73
76-100	79 • 83 • 89 • 97

101-200
101-125	101 • 103 • 107 • 109 • 113
126-150	127 • 131 • 137 • 139 • 149
151-175	151 • 157 • 163 • 167 • 173
176-200	179 • 181 • 191 • 193 • 197 • 199

201-400
201-250	211 • 223 • 227 • 229 • 233 • 239 • 241
250-300	251 • 257 • 263 • 269 • 271 • 277 • 281 • 283 • 293
301-350	307 • 311 • 313 • 317 • 331 • 337 • 347 • 349
351-400	353 • 359 • 367 • 373 • 379 • 383 • 389 • 397

401-600
401-450	401 • 409 • 419 • 421 • 431 • 433 • 439 • 443 • 449
450-500	457 • 461 • 463 • 467 • 479 • 487 • 491 • 499
501-550	503 • 509 • 521 • 523 • 541 • 547
551-600	557 • 563 • 569 • 571 • 577 • 587 • 593 • 599

601-800
601-650	601 • 607 • 613 • 617 • 619 • 631 • 641 • 643 • 647
651-700	653 • 659 • 661 • 673 • 677 • 683 • 691
701-750	701 • 709 • 719 • 727 • 733 • 739 • 743
751-800	751 • 757 • 761 • 769 • 773 • 787 • 797

801-1,000
801-850	809 • 811 • 821 • 823 • 827 • 829 • 839
851-900	853 • 857 • 859 • 863 • 877 • 881 • 883 • 887
901-950	907 • 911 • 919 • 929 • 937 • 941 • 947
951-1000	953 • 967 • 971 • 977 • 983 • 991 • 997

@@ Line 1: / Line 1: @@
+{{Infobox
-PAGM
+|title = 113
+|image = 113.png
+|imagewidth = 200
+|roman-number = XIII
+|ordinal-number = thirteenth
+|previous = [[109|<font color="white">109</font>]]
+|next = [[127|<font color="white">127</font>]]}}113 is a [[1-100|prime number from 1-100]]. 113 is prime because it only has 2 factors, 1 and 113. It is the 30th prime number, and the fifth prime number between 101 to 200.
+[[File:13.png|thumb]]
+==Proofs==
+*113 is divisible by 1.
+*It is not divisible by 2 ~ 112.
+*113 can be divided by itself
+*Thefore it has 2 factors.
+==Relationship with other odd numbers==
+===The numbers before===
+*The previous odd number, 111, is not a prime number. It can be factorized into 3 x 37.
+*The odd number previous to 111 is 109. 109 is a prime number.
+*109 and 113 are four numbers apart; therefore, they are cousin primes.
+*The odd number previous to 109 is 107. 107 is a prime number.
+**107 and 113 are six numbers apart; therefore, they are sexy primes.
+===The numbers after===
+*The next prime number is 127. It features a large gap of 14 numbers. All numbers between are composite.
+**Among them, 115 is divisible by 5.
+**117 is divisible by 3.
+**119 is divisible by 7.
+**121 is divisible by 11. In addition, it is a square number.
+**123 is divisible by 3.
+**125 is divisible by 5.
+{{Navbox primes}}
 [[Category:Prime Numbers]]
 [[Category:Prime numbers from 101-200]]