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131012001012 = 223123720874229
BaseRepresentation
bin111101000000011101…
…1000111110011110100
3110112011110012020000210
41322000323013303310
54121303033013022
6140104105505420
712315412430424
oct1720073076364
9415143166023
10131012001012
115061a94a502
12214837a2270
13c47b7542b9
1464aba5c484
15361bb15a0c
hex1e80ec7cf4

131012001012 has 48 divisors (see below), whose sum is σ = 306160767360. Its totient is φ = 43604141952.

The previous prime is 131012000983. The next prime is 131012001017. The reversal of 131012001012 is 210100210131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012001017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30977314 + ... + 30981542.

It is an arithmetic number, because the mean of its divisors is an integer number (6378349320).

Almost surely, 2131012001012 is an apocalyptic number.

131012001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131012001012 is an abundant number, since it is smaller than the sum of its proper divisors (175148766348).

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

131012001012 is a wasteful number, since it uses less digits than its factorization.

131012001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7560 (or 7558 counting only the distinct ones).

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

Adding to 131012001012 its reverse (210100210131), we get a palindrome (341112211143).

The spelling of 131012001012 in words is "one hundred thirty-one billion, twelve million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 1237 2087 2474 3711 4174 4229 4948 6261 7422 8348 8458 12522 12687 14844 16916 25044 25374 50748 2581619 5163238 5231273 7744857 8825923 10326476 10462546 15489714 15693819 17651846 20925092 26477769 30979428 31387638 35303692 52955538 62775276 105911076 10917666751 21835333502 32753000253 43670667004 65506000506 131012001012