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131410013 = 728930133
BaseRepresentation
bin1111101010100…
…10100001011101
3100011021022122112
413311102201131
5232120110023
621012323405
73153652400
oct765224135
9304238575
10131410013
11681a5319
1238013565
13212c0507
1413649d37
15b80b478
hex7d5285d

131410013 has 12 divisors (see below), whose sum is σ = 154587420. Its totient is φ = 111367872.

The previous prime is 131410009. The next prime is 131410031. The reversal of 131410013 is 310014131.

It can be written as a sum of positive squares in 2 ways, for example, as 32467204 + 98942809 = 5698^2 + 9947^2 .

It is not a de Polignac number, because 131410013 - 22 = 131410009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131410013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131410093) 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, 10706 + ... + 19427.

It is an arithmetic number, because the mean of its divisors is an integer number (12882285).

Almost surely, 2131410013 is an apocalyptic number.

It is an amenable number.

131410013 is a deficient number, since it is larger than the sum of its proper divisors (23177407).

131410013 is an equidigital number, since it uses as much as digits as its factorization.

131410013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30236 (or 30229 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 131410013 is about 11463.4206500503. The cubic root of 131410013 is about 508.4046172421.

Adding to 131410013 its reverse (310014131), we get a palindrome (441424144).

The spelling of 131410013 in words is "one hundred thirty-one million, four hundred ten thousand, thirteen".

Divisors: 1 7 49 89 623 4361 30133 210931 1476517 2681837 18772859 131410013