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131274972 = 22331215509
BaseRepresentation
bin1111101001100…
…01100011011100
3100011000110102000
413310301203130
5232101244342
621005402300
73152550603
oct764614334
9304013360
10131274972
1168112914
1237b69390
1321273bca
1413612a3a
15b7d144c
hex7d318dc

131274972 has 24 divisors (see below), whose sum is σ = 340342800. Its totient is φ = 43758288.

The previous prime is 131274943. The next prime is 131274977. The reversal of 131274972 is 279472131.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131274977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 607647 + ... + 607862.

It is an arithmetic number, because the mean of its divisors is an integer number (14180950).

Almost surely, 2131274972 is an apocalyptic number.

131274972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131274972 is an abundant number, since it is smaller than the sum of its proper divisors (209067828).

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

131274972 is a wasteful number, since it uses less digits than its factorization.

131274972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215522 (or 1215514 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 131274972 is about 11457.5290529852. The cubic root of 131274972 is about 508.2304067760.

The spelling of 131274972 in words is "one hundred thirty-one million, two hundred seventy-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1215509 2431018 3646527 4862036 7293054 10939581 14586108 21879162 32818743 43758324 65637486 131274972