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113287652153 = 1321374893001
BaseRepresentation
bin110100110000001111…
…0000110001100111001
3101211102012201000021122
41221200132012030321
53324003114332103
6124013231315025
711120242104104
oct1514036061471
9354365630248
10113287652153
1144054a20905
1219b5797ba75
13a8b5677b00
1456a9aa773b
152e30a5bb38
hex1a60786339

113287652153 has 12 divisors (see below), whose sum is σ = 123567872508. Its totient is φ = 103809888000.

The previous prime is 113287652143. The next prime is 113287652167. The reversal of 113287652153 is 351256782311.

It can be written as a sum of positive squares in 6 ways, for example, as 128074489 + 113159577664 = 11317^2 + 336392^2 .

It is not a de Polignac number, because 113287652153 - 216 = 113287586617 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113287652113) 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 11 ways as a sum of consecutive naturals, for example, 2423348 + ... + 2469653.

It is an arithmetic number, because the mean of its divisors is an integer number (10297322709).

Almost surely, 2113287652153 is an apocalyptic number.

113287652153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113287652153 is a deficient number, since it is larger than the sum of its proper divisors (10280220355).

113287652153 is a wasteful number, since it uses less digits than its factorization.

113287652153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4893164 (or 4893151 counting only the distinct ones).

The product of its digits is 302400, while the sum is 44.

The spelling of 113287652153 in words is "one hundred thirteen billion, two hundred eighty-seven million, six hundred fifty-two thousand, one hundred fifty-three".

Divisors: 1 13 137 169 1781 23153 4893001 63609013 670341137 826917169 8714434781 113287652153