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131146812 = 223213726591
BaseRepresentation
bin1111101000100…
…10010000111100
3100010202221121100
413310102100330
5232033144222
621002533100
73151505136
oct764222074
9303687540
10131146812
11680355a5
1237b07190
132122a784
14135bc056
15b7a84ac
hex7d1243c

131146812 has 36 divisors (see below), whose sum is σ = 333942336. Its totient is φ = 43394880.

The previous prime is 131146739. The next prime is 131146819. The reversal of 131146812 is 218641131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131146819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8364 + ... + 18227.

It is an arithmetic number, because the mean of its divisors is an integer number (9276176).

Almost surely, 2131146812 is an apocalyptic number.

131146812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131146812 is an abundant number, since it is smaller than the sum of its proper divisors (202795524).

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

131146812 is a wasteful number, since it uses less digits than its factorization.

131146812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26738 (or 26733 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 131146812 is about 11451.9348583547. The cubic root of 131146812 is about 508.0649626555.

Adding to 131146812 its reverse (218641131), we get a palindrome (349787943).

The spelling of 131146812 in words is "one hundred thirty-one million, one hundred forty-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 26591 53182 79773 106364 159546 239319 319092 478638 957276 3642967 7285934 10928901 14571868 21857802 32786703 43715604 65573406 131146812