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113717717073 = 3413795310753
BaseRepresentation
bin110100111101000011…
…0101010100001010001
3101212112011221120110000
41221322012222201101
53330343213421243
6124124033200213
711134013434512
oct1517206524121
9355464846400
10113717717073
1144255760a64
121a057a00069
13a9537b4aac
14570ac56a09
152e586ad5d3
hex1a7a1aa851

113717717073 has 40 divisors (see below), whose sum is σ = 171310058568. Its totient is φ = 75172478976.

The previous prime is 113717717039. The next prime is 113717717093. The reversal of 113717717073 is 370717717311.

It can be written as a sum of positive squares in 4 ways, for example, as 44004291984 + 69713425089 = 209772^2 + 264033^2 .

It is not a de Polignac number, because 113717717073 - 233 = 105127782481 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113717717093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10570065 + ... + 10580817.

Almost surely, 2113717717073 is an apocalyptic number.

It is an amenable number.

113717717073 is a deficient number, since it is larger than the sum of its proper divisors (57592341495).

113717717073 is a wasteful number, since it uses less digits than its factorization.

113717717073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11855 (or 11846 counting only the distinct ones).

The product of its (nonzero) digits is 151263, while the sum is 45.

The spelling of 113717717073 in words is "one hundred thirteen billion, seven hundred seventeen million, seven hundred seventeen thousand, seventy-three".

Divisors: 1 3 9 27 81 137 411 953 1233 2859 3699 8577 10753 11097 25731 32259 77193 96777 130561 290331 391683 870993 1175049 1473161 3525147 4419483 10247609 10575441 13258449 30742827 39775347 92228481 119326041 276685443 830056329 1403922433 4211767299 12635301897 37905905691 113717717073