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12117131883359 = 176725743196043
BaseRepresentation
bin1011000001010011110101…
…0101110111001101011111
31120220101102202101021220122
42300110331111313031133
53042011341230231414
641434311124505155
72360301552415556
oct260247525671537
946811382337818
1012117131883359
113951935067498
12143846ab4b1bb
1369b84361a4c9
142dc68804cd9d
151602db1d3b8e
hexb053d57735f

12117131883359 has 32 divisors (see below), whose sum is σ = 13102528398336. Its totient is φ = 11164352348160.

The previous prime is 12117131883341. The next prime is 12117131883383. The reversal of 12117131883359 is 95338813171121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12117131883359 - 228 = 12116863447903 is a prime.

It is a super-2 number, since 2×121171318833592 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12117131883359.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12117131823359) 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, 126115592 + ... + 126211634.

It is an arithmetic number, because the mean of its divisors is an integer number (409454012448).

Almost surely, 212117131883359 is an apocalyptic number.

12117131883359 is a deficient number, since it is larger than the sum of its proper divisors (985396514977).

12117131883359 is a wasteful number, since it uses less digits than its factorization.

12117131883359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96815.

The product of its digits is 1088640, while the sum is 53.

The spelling of 12117131883359 in words is "twelve trillion, one hundred seventeen billion, one hundred thirty-one million, eight hundred eighty-three thousand, three hundred fifty-nine".

Divisors: 1 17 67 257 431 1139 4369 7327 17219 28877 96043 110767 292723 490909 1632731 1883039 6434881 7421389 24683051 41394533 109392977 126163613 419611867 703707061 1653764417 2773433711 10638394981 28113995089 47148373087 180852714677 712772463727 12117131883359