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131268372 = 22310939031
BaseRepresentation
bin1111101001011…
…11111100010100
3100011000010100120
413310233330110
5232101041442
621005311540
73152522424
oct764577424
9304003316
10131268372
1168108964
1237b655b0
1321270bc1
1413610484
15b7ce4ec
hex7d2ff14

131268372 has 12 divisors (see below), whose sum is σ = 306292896. Its totient is φ = 43756120.

The previous prime is 131268329. The next prime is 131268391. The reversal of 131268372 is 273862131.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 5469504 + ... + 5469527.

It is an arithmetic number, because the mean of its divisors is an integer number (25524408).

Almost surely, 2131268372 is an apocalyptic number.

131268372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131268372 is an abundant number, since it is smaller than the sum of its proper divisors (175024524).

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

131268372 is a wasteful number, since it uses less digits than its factorization.

131268372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10939038 (or 10939036 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 131268372 is about 11457.2410291483. The cubic root of 131268372 is about 508.2218893441.

The spelling of 131268372 in words is "one hundred thirty-one million, two hundred sixty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 10939031 21878062 32817093 43756124 65634186 131268372