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132122113103031 = 33471069770315413
BaseRepresentation
bin11110000010101000010011…
…100111100101010010110111
3122022210202021020012111122120
4132002220103213211102313
5114304142041423244111
61145000021050331023
736554336062361262
oct3602502347452267
9568722236174576
10132122113103031
1139109745480777
121299a198429a73
1358950a5a2b82c
14248aa5c891cd9
151041beccd1406
hex782a139e54b7

132122113103031 has 32 divisors (see below), whose sum is σ = 176870189744640. Its totient is φ = 87728329916544.

The previous prime is 132122113102999. The next prime is 132122113103039. The reversal of 132122113103031 is 130301311221231.

It is not a de Polignac number, because 132122113103031 - 25 = 132122113102999 is a prime.

It is a super-2 number, since 2×1321221131030312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132122113102992 and 132122113103010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122113103039) 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, 8572114081 + ... + 8572129493.

It is an arithmetic number, because the mean of its divisors is an integer number (5527193429520).

Almost surely, 2132122113103031 is an apocalyptic number.

132122113103031 is a deficient number, since it is larger than the sum of its proper divisors (44748076641609).

132122113103031 is a wasteful number, since it uses less digits than its factorization.

132122113103031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24535.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 132122113103031 its reverse (130301311221231), we get a palindrome (262423424324262).

The spelling of 132122113103031 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, one hundred thirteen million, one hundred three thousand, thirty-one".

Divisors: 1 3 347 1041 1069 3207 7703 15413 23109 46239 370943 1112829 2672941 5348311 8018823 8234507 16044933 16476497 24703521 49429491 118726339 356179017 2857373929 5717344459 8572121787 17152033377 41198039633 123594118899 126918456391 380755369173 44040704367677 132122113103031