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113061372516 = 2232560412
BaseRepresentation
bin110100101001011111…
…0111010001001100100
3101210211102220210222100
41221102332322021210
53323022202410031
6123534545332100
711111523544521
oct1512276721144
9353742823870
10113061372516
1143a49219644
1219ab4037030
13a87a81c031
145687a04148
152e1ac60de6
hex1a52fba264

113061372516 has 27 divisors (see below), whose sum is σ = 285799124793. Its totient is φ = 37686451680.

The previous prime is 113061372511. The next prime is 113061372517. The reversal of 113061372516 is 615273160311.

The square root of 113061372516 is 336246.

It is a perfect power (a square), and thus also a powerful number.

113061372516 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 6 + 137 + 2 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85875958116 + 27185414400 = 293046^2 + 164880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (113061372511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1989456 + ... + 2045496.

Almost surely, 2113061372516 is an apocalyptic number.

113061372516 is the 336246-th square number.

It is an amenable number.

113061372516 is an abundant number, since it is smaller than the sum of its proper divisors (172737752277).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113061372516 is an frugal number, since it uses more digits than its factorization.

113061372516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112092 (or 56046 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Multiplying 113061372516 by its sum of digits (36), we get a square (4070209410576 = 20174762).

113061372516 divided by its sum of digits (36) gives a square (3140593681 = 560412).

The spelling of 113061372516 in words is "one hundred thirteen billion, sixty-one million, three hundred seventy-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 56041 112082 168123 224164 336246 504369 672492 1008738 2017476 3140593681 6281187362 9421781043 12562374724 18843562086 28265343129 37687124172 56530686258 113061372516