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12157131 = 371930469
BaseRepresentation
bin101110011000…
…000011001011
3211212122110010
4232120003023
511103012011
61112323003
7205222350
oct56300313
924778403
1012157131
116953918
1240a3463
13269868c
141886627
1511021a6
hexb980cb

12157131 has 16 divisors (see below), whose sum is σ = 19500800. Its totient is φ = 6581088.

The previous prime is 12157129. The next prime is 12157139. The reversal of 12157131 is 13175121.

It is a happy number.

It is not a de Polignac number, because 12157131 - 21 = 12157129 is a prime.

It is a super-2 number, since 2×121571312 = 295591668302322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12157098 and 12157107.

It is not an unprimeable number, because it can be changed into a prime (12157139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14836 + ... + 15633.

It is an arithmetic number, because the mean of its divisors is an integer number (1218800).

Almost surely, 212157131 is an apocalyptic number.

12157131 is a deficient number, since it is larger than the sum of its proper divisors (7343669).

12157131 is a wasteful number, since it uses less digits than its factorization.

12157131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30498.

The product of its digits is 210, while the sum is 21.

The square root of 12157131 is about 3486.7077594774. The cubic root of 12157131 is about 229.9377966632.

The spelling of 12157131 in words is "twelve million, one hundred fifty-seven thousand, one hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 399 30469 91407 213283 578911 639849 1736733 4052377 12157131