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131970088092075 = 35247151247935913
BaseRepresentation
bin11110000000011010101110…
…001110001100000110101011
3122022021012212100022202222020
4132000122232032030012223
5114244144220022421300
61144402115502555523
736540344544166062
oct3600325616140653
9568235770282866
10131970088092075
1139060222302952
121297482b598ba3
135883958a88b4c
14248355a1b51d9
15103cca154d8a0
hex7806ae38c1ab

131970088092075 has 48 divisors (see below), whose sum is σ = 224308613139456. Its totient is φ = 68430311712000.

The previous prime is 131970088092053. The next prime is 131970088092083. The reversal of 131970088092075 is 570290880079131.

It is not a de Polignac number, because 131970088092075 - 212 = 131970088087979 is a prime.

It is a super-2 number, since 2×1319700880920752 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123435682 + ... + 124500231.

It is an arithmetic number, because the mean of its divisors is an integer number (4673096107072).

Almost surely, 2131970088092075 is an apocalyptic number.

131970088092075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131970088092075 is a deficient number, since it is larger than the sum of its proper divisors (92338525047381).

131970088092075 is a wasteful number, since it uses less digits than its factorization.

131970088092075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247936124 (or 247936119 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 60.

The spelling of 131970088092075 in words is "one hundred thirty-one trillion, nine hundred seventy billion, eighty-eight million, ninety-two thousand, seventy-five".

Divisors: 1 3 5 15 25 47 75 141 151 235 453 705 755 1175 2265 3525 3775 7097 11325 21291 35485 106455 177425 532275 247935913 743807739 1239679565 3719038695 6198397825 11652987911 18595193475 34958963733 37438322863 58264939555 112314968589 174794818665 187191614315 291324697775 561574842945 873974093325 935958071575 1759601174561 2807874214725 5278803523683 8798005872805 26394017618415 43990029364025 131970088092075