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131003013012 = 22390712036293
BaseRepresentation
bin111101000000001100…
…0110101011110010100
3110112010211021120210220
41322000120311132110
54121243232404022
6140103145114340
712315243144354
oct1720030653624
9415124246726
10131003013012
1150615870703
12214807889b0
13c479928261
1464aa79cb64
15361ae3c85c
hex1e80635794

131003013012 has 24 divisors (see below), whose sum is σ = 306010738656. Its totient is φ = 43619522208.

The previous prime is 131003012981. The next prime is 131003013061. The reversal of 131003013012 is 210310300131.

It is a junction number, because it is equal to n+sod(n) for n = 131003012982 and 131003013000.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6007263 + ... + 6029030.

It is an arithmetic number, because the mean of its divisors is an integer number (12750447444).

Almost surely, 2131003013012 is an apocalyptic number.

131003013012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131003013012 is an abundant number, since it is smaller than the sum of its proper divisors (175007725644).

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

131003013012 is a wasteful number, since it uses less digits than its factorization.

131003013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12037207 (or 12037205 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131003013012 its reverse (210310300131), we get a palindrome (341313313143).

The spelling of 131003013012 in words is "one hundred thirty-one billion, three million, thirteen thousand, twelve".

Divisors: 1 2 3 4 6 12 907 1814 2721 3628 5442 10884 12036293 24072586 36108879 48145172 72217758 144435516 10916917751 21833835502 32750753253 43667671004 65501506506 131003013012