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101137190931 = 3271984492223
BaseRepresentation
bin101111000110000111…
…1110001000000010011
3100200001102110121221100
41132030033301000103
53124112110102211
6114243424555443
710210162636650
oct1361417610023
9320042417840
10101137190931
113998a342517
1217726782b83
1396ca2b249a
144c760c0c27
15296deba156
hex178c3f1013

101137190931 has 24 divisors (see below), whose sum is σ = 175743825920. Its totient is φ = 54750959856.

The previous prime is 101137190929. The next prime is 101137190951. The reversal of 101137190931 is 139091731101.

It is not a de Polignac number, because 101137190931 - 21 = 101137190929 is a prime.

It is a super-2 number, since 2×1011371909312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101137190911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42244915 + ... + 42247308.

Almost surely, 2101137190931 is an apocalyptic number.

101137190931 is a deficient number, since it is larger than the sum of its proper divisors (74606634989).

101137190931 is a wasteful number, since it uses less digits than its factorization.

101137190931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84492255 (or 84492252 counting only the distinct ones).

The product of its (nonzero) digits is 5103, while the sum is 36.

The spelling of 101137190931 in words is "one hundred one billion, one hundred thirty-seven million, one hundred ninety thousand, nine hundred thirty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 84492223 253476669 591445561 760430007 1605352237 1774336683 4816056711 5323010049 11237465659 14448170133 33712396977 101137190931