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131350344322005 = 32531907153167807
BaseRepresentation
bin11101110111011001100010…
…100111010100101111010101
3122020001222012100002021121200
4131313121202213110233111
5114204021001121301010
61143205303135103113
736444514660104144
oct3567314247245725
9566058170067550
10131350344322005
1138941406089706
12128946b0671a99
13583a390867c73
142461567aa775b
15102bacd1c9cc0
hex7776629d4bd5

131350344322005 has 96 divisors (see below), whose sum is σ = 235434514219008. Its totient is φ = 67673751177600.

The previous prime is 131350344321923. The next prime is 131350344322063. The reversal of 131350344322005 is 500223443053131.

131350344322005 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 5 + 0 + 3 + 443 + 2 + 200 + 5 = 666.

It is not a de Polignac number, because 131350344322005 - 230 = 131349270580181 is a prime.

It is a super-2 number, since 2×1313503443220052 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1937086812 + ... + 1937154618.

It is an arithmetic number, because the mean of its divisors is an integer number (2452442856448).

Almost surely, 2131350344322005 is an apocalyptic number.

131350344322005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131350344322005 is a deficient number, since it is larger than the sum of its proper divisors (104084169897003).

131350344322005 is a wasteful number, since it uses less digits than its factorization.

131350344322005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70287 (or 70284 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 131350344322005 its reverse (500223443053131), we get a palindrome (631573787375136).

The spelling of 131350344322005 in words is "one hundred thirty-one trillion, three hundred fifty billion, three hundred forty-four million, three hundred twenty-two thousand, five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 907 1395 1531 2721 4535 4593 7655 8163 13605 13779 22965 28117 40815 47461 67807 68895 84351 140585 142383 203421 237305 253053 339035 421755 427149 610263 711915 1017105 1265265 1388617 2102017 2135745 3051315 4165851 6306051 6943085 10510085 12497553 18918153 20829255 31530255 43047127 61500949 62487765 94590765 103812517 129141381 184502847 215235635 307504745 311437551 387424143 519062585 553508541 645706905 922514235 934312653 1557187755 1906529419 1937120715 2767542705 3218188027 4671563265 5719588257 9532647095 9654564081 16090940135 17158764771 28597941285 28963692243 48272820405 85793823855 94157952919 144818461215 282473858757 470789764595 847421576271 1412369293785 2918896540489 4237107881355 8756689621467 14594482702445 26270068864401 43783448107335 131350344322005