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131350455232455 = 35172591139945053
BaseRepresentation
bin11101110111011001101001…
…001110011010011111000111
3122020001222111001210010011010
4131313121221032122133013
5114204021213014414310
61143205322140213303
736444520504610214
oct3567315116323707
9566058431703133
10131350455232455
1138941462752338
121289472183a233
13583a3aa82b854
1424615786d8b0b
15102bad7cd7320
hex77766939a7c7

131350455232455 has 96 divisors (see below), whose sum is σ = 227059184448000. Its totient is φ = 64808148256768.

The previous prime is 131350455232429. The next prime is 131350455232463. The reversal of 131350455232455 is 554232554053131.

It is not a de Polignac number, because 131350455232455 - 222 = 131350451038151 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2915442709 + ... + 2915487761.

It is an arithmetic number, because the mean of its divisors is an integer number (2365199838000).

Almost surely, 2131350455232455 is an apocalyptic number.

131350455232455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131350455232455 is a deficient number, since it is larger than the sum of its proper divisors (95708729215545).

131350455232455 is a wasteful number, since it uses less digits than its factorization.

131350455232455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56553 (or 56536 counting only the distinct ones).

The product of its (nonzero) digits is 5400000, while the sum is 48.

The spelling of 131350455232455 in words is "one hundred thirty-one trillion, three hundred fifty billion, four hundred fifty-five million, two hundred thirty-two thousand, four hundred fifty-five".

Divisors: 1 3 5 15 17 51 59 85 177 255 289 295 867 885 1003 1445 3009 4335 5015 11399 15045 17051 34197 45053 51153 56995 85255 135159 170985 193783 225265 255765 581349 672541 675795 765901 968915 2017623 2297703 2658127 2906745 3294311 3362705 3829505 7974381 9882933 10088115 11433197 11488515 13020317 13290635 16471555 34299591 39060951 39871905 45188159 49414665 57165985 65101585 135564477 171497955 194364349 195304755 225940795 513559147 583093047 677822385 768198703 971821745 1540677441 2304596109 2567795735 2915465235 3840993515 7703387205 8730505499 11522980545 26191516497 30299989673 43652527495 90899969019 130957582485 148418593483 151499948365 445255780449 454499845095 515099824441 742092967415 1545299473323 2226278902245 2575499122205 7726497366615 8756697015497 26270091046491 43783485077485 131350455232455