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131130012 = 223136731249
BaseRepresentation
bin1111101000011…
…10001010011100
3100010202002120010
413310032022130
5232032130022
621002323220
73151405146
oct764161234
9303662503
10131130012
1168023a12
1237ab9510
1321222c30
14135b5c96
15b7a350c
hex7d0e29c

131130012 has 48 divisors (see below), whose sum is σ = 330260000. Its totient is φ = 40255488.

The previous prime is 131130007. The next prime is 131130023. The reversal of 131130012 is 210031131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 131130012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104364 + ... + 105612.

Almost surely, 2131130012 is an apocalyptic number.

131130012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131130012 is an abundant number, since it is smaller than the sum of its proper divisors (199129988).

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

131130012 is a wasteful number, since it uses less digits than its factorization.

131130012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131130012 is about 11451.2013343579. The cubic root of 131130012 is about 508.0432672346.

Adding to 131130012 its reverse (210031131), we get a palindrome (341161143).

The spelling of 131130012 in words is "one hundred thirty-one million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 673 1249 1346 2019 2498 2692 3747 4038 4996 7494 8076 8749 14988 16237 17498 26247 32474 34996 48711 52494 64948 97422 104988 194844 840577 1681154 2521731 3362308 5043462 10086924 10927501 21855002 32782503 43710004 65565006 131130012