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113131002312 = 23329411669781
BaseRepresentation
bin110100101011100100…
…0100001100111001000
3101211000021221101002200
41221113020201213020
53323143014033222
6123545514000200
711113330440036
oct1512710414710
9354007841080
10113131002312
1143a84557529
1219b13416060
13a88c08b1b3
145692d6b556
152e21e16eac
hex1a572219c8

113131002312 has 48 divisors (see below), whose sum is σ = 306722255580. Its totient is φ = 37670236800.

The previous prime is 113131002311. The next prime is 113131002323. The reversal of 113131002312 is 213200131311.

113131002312 is a `hidden beast` number, since 11 + 31 + 310 + 0 + 2 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109102053636 + 4028948676 = 330306^2 + 63474^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113131002311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 767139 + ... + 902642.

Almost surely, 2113131002312 is an apocalyptic number.

113131002312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113131002312 is an abundant number, since it is smaller than the sum of its proper divisors (193591253268).

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

113131002312 is a wasteful number, since it uses less digits than its factorization.

113131002312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670734 (or 1670727 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113131002312 its reverse (213200131311), we get a palindrome (326331133623).

The spelling of 113131002312 in words is "one hundred thirteen billion, one hundred thirty-one million, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 941 1882 2823 3764 5646 7528 8469 11292 16938 22584 33876 67752 1669781 3339562 5009343 6679124 10018686 13358248 15028029 20037372 30056058 40074744 60112116 120224232 1571263921 3142527842 4713791763 6285055684 9427583526 12570111368 14141375289 18855167052 28282750578 37710334104 56565501156 113131002312