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12137317805331 = 3223531106309161
BaseRepresentation
bin1011000010011111000010…
…0001000010110100010011
31120222022112112202101011100
42300213300201002310103
53042324211324232311
641451450135115443
72361615023054205
oct260476041026423
946868475671140
1012137317805331
11395a453533434
121440363212b83
136a070c690634
142dd640cd0775
15160abd427a56
hexb09f0842d13

12137317805331 has 24 divisors (see below), whose sum is σ = 18639096761376. Its totient is φ = 7593706074240.

The previous prime is 12137317805311. The next prime is 12137317805407. The reversal of 12137317805331 is 13350871373121.

12137317805331 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 7 + 31 + 7 + 80 + 533 + 1 = 666.

It is not a de Polignac number, because 12137317805331 - 26 = 12137317805267 is a prime.

It is a super-2 number, since 2×121373178053312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12137317805311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 553143610 + ... + 553165551.

It is an arithmetic number, because the mean of its divisors is an integer number (776629031724).

Almost surely, 212137317805331 is an apocalyptic number.

12137317805331 is a deficient number, since it is larger than the sum of its proper divisors (6501778956045).

12137317805331 is a wasteful number, since it uses less digits than its factorization.

12137317805331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106309243 (or 1106309240 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 12137317805331 in words is "twelve trillion, one hundred thirty-seven billion, three hundred seventeen million, eight hundred five thousand, three hundred thirty-one".

Divisors: 1 3 9 23 53 69 159 207 477 1219 3657 10971 1106309161 3318927483 9956782449 25445110703 58634385533 76335332109 175903156599 229005996327 527709469797 1348590867259 4045772601777 12137317805331