113 (number)

← 112 113 114 →
← 110 111 112 113 114 115 116 117 118 119 → List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred thirteen
Ordinal	113th (one hundred and thirteenth)
Factorization	prime
Prime	30th
Divisors	1, 113
Roman numeral	CXIII
Binary	11100012
Ternary	110123
Quaternary	13014
Quinary	4235
Senary	3056
Octal	1618
Duodecimal	9512
Hexadecimal	7116
Vigesimal	5D20
Base 36	3536

113 (one hundred [and] thirteen) is the natural number following 112 and preceding 114. It is a prime number, so it can only be divided by one and itself.

In mathematics

113 is the 30th prime number, following 109 and preceding 127, a Sophie Germain prime, a Chen prime and a Proth prime as it is a prime number of the form 7 × 2⁴ + 1. 113 is an Eisenstein prime with no imaginary part and real part of the form $3n - 1$. In base 10, this prime is a primeval number, and a permutable prime with 131 and 311.

It is a highly cototient number and a centered square number. 355/113 approximates pi to six decimal places, with an error of less than 1/113³. This means that 113/355 approximates the reciprocal of pi.

In telephony

• The fire emergency telephone number in Indonesia
• The medical emergency telephone number in Norway and Latvia
• The police emergency telephone number in Italy, Luxembourg, Slovenia and Vietnam
• The Argentina time telephone number
• The intelligence Agency telephone number in Iran

Music

• 113 (band), a French hip hop group

Other Fields

One hundred [and] thirteen is also:

• The port number of the IDENT Internet protocol that helps identify the user of a particular TCP connection
• Cadmium-113m is a radioisotope and nuclear isomer with a halflife of 14.1 years
• The atomic number of an element temporarily called ununtrium.
• In enduro, it is regarded as an unlucky number to be given to a race entrant and is colloquially known as a "blind pew"
• The number of surat al-Falaq in the Qur'an.
• Psalms 113–118 constitute the Hallel, which is recited on the three great feasts, Passover, Weeks, and Tabernacles

See also

• List of highways numbered 113
• National longevity recordholders
• List of oldest people
• M113

References

• Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 134