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12075157431 = 3329103314929
BaseRepresentation
bin10110011111011110…
…00100011110110111
31011011112112112222000
423033233010132313
5144212220014211
65314112310343
7605143100421
oct131757043667
934145475860
1012075157431
115137125557
12240bb423b3
1311a58ba98c
148279c3811
154aa169656
hex2cfbc47b7

12075157431 has 32 divisors (see below), whose sum is σ = 18525144000. Its totient is φ = 7764470784.

The previous prime is 12075157403. The next prime is 12075157439. The reversal of 12075157431 is 13475157021.

12075157431 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 51 + 574 + 31 = 666.

It is not a de Polignac number, because 12075157431 - 25 = 12075157399 is a prime.

It is a super-2 number, since 2×120751574312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12075157439) 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, 801375 + ... + 816303.

It is an arithmetic number, because the mean of its divisors is an integer number (578910750).

Almost surely, 212075157431 is an apocalyptic number.

12075157431 is a deficient number, since it is larger than the sum of its proper divisors (6449986569).

12075157431 is a wasteful number, since it uses less digits than its factorization.

12075157431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16000 (or 15994 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 12075157431 in words is "twelve billion, seventy-five million, one hundred fifty-seven thousand, four hundred thirty-one".

Divisors: 1 3 9 27 29 87 261 783 1033 3099 9297 14929 27891 29957 44787 89871 134361 269613 403083 432941 808839 1298823 3896469 11689407 15421657 46264971 138794913 416384739 447228053 1341684159 4025052477 12075157431