113 (number)

113 (one hundred [and] thirteen) is the natural number following 112 and preceding 114.

← 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 thirteenth)
Factorization	prime
Prime	30th
Divisors	1, 113
Greek numeral	ΡΙΓ´
Roman numeral	CXIII, cxiii
Binary	11100012
Ternary	110123
Senary	3056
Octal	1618
Duodecimal	9512
Hexadecimal	7116

Mathematics

• 113 is the 30th prime number (following 109 and preceding 127), so it can only be divided by one and itself. 113 is a Sophie Germain prime,^[1] an emirp, an isolated prime, a Chen prime^[2] and a Proth prime as it is a prime number of the form ${\displaystyle 7\times 2^{4}+1.}$ 113 is also an Eisenstein prime with no imaginary part and real part of the form ${\displaystyle 3n-1}$. In decimal, this prime is a primeval number^[3] and a permutable prime with 131 and 311.
• 113 is a highly cototient number^[4] and a centered square number.^[5]
• 113 is the denominator of 355/113, an accurate approximation to π.

Other uses

• 113 is also the atomic number of nihonium.
• A113 is a Pixar recurring inside joke or Easter Egg, e.g.: (WALL-E) = (W-A113).
• 113 is the first full-sized Bluebird bus at Essex North Shore Agricultural and Technical High School

See also

• 113 (disambiguation)