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12157431 = 31113171667
BaseRepresentation
bin101110011000…
…000111110111
3211212122212020
4232120013313
511103014211
61112324223
7205223256
oct56300767
924778766
1012157431
116954070
1240a3673
132698860
14188679d
151102306
hexb981f7

12157431 has 32 divisors (see below), whose sum is σ = 20176128. Its totient is φ = 6397440.

The previous prime is 12157429. The next prime is 12157459. The reversal of 12157431 is 13475121.

It is not a de Polignac number, because 12157431 - 21 = 12157429 is a prime.

It is a super-2 number, since 2×121574312 = 295606257039522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12150431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6460 + ... + 8126.

It is an arithmetic number, because the mean of its divisors is an integer number (630504).

Almost surely, 212157431 is an apocalyptic number.

12157431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12157431 is a deficient number, since it is larger than the sum of its proper divisors (8018697).

12157431 is a wasteful number, since it uses less digits than its factorization.

12157431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711.

The product of its digits is 840, while the sum is 24.

The square root of 12157431 is about 3486.7507797375. The cubic root of 12157431 is about 229.9396880297.

It can be divided in two parts, 1215 and 7431, that added together give a triangular number (8646 = T131).

The spelling of 12157431 in words is "twelve million, one hundred fifty-seven thousand, four hundred thirty-one".

Divisors: 1 3 11 13 17 33 39 51 143 187 221 429 561 663 1667 2431 5001 7293 18337 21671 28339 55011 65013 85017 238381 311729 368407 715143 935187 1105221 4052477 12157431