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132131424131231 = 77313713811366693
BaseRepresentation
bin11110000010110000111110…
…100110010101100010011111
3122022211122022010112202010212
4132002300332212111202133
5114304320124034144411
61145004201022123035
736555115602663140
oct3602607646254237
9568748263482125
10132131424131231
1139112693298aa8
121299bb5672047b
135895c2aa6b485
14248b2a330bac7
15104209544968b
hex782c3e99589f

132131424131231 has 32 divisors (see below), whose sum is σ = 154305044439168. Its totient is φ = 110808325969920.

The previous prime is 132131424131207. The next prime is 132131424131249.

It is a happy number.

132131424131231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132131424131231 is a prime.

It is a super-2 number, since 2×1321314241312312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131424101231) 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, 95996321 + ... + 97363013.

It is an arithmetic number, because the mean of its divisors is an integer number (4822032638724).

Almost surely, 2132131424131231 is an apocalyptic number.

132131424131231 is a deficient number, since it is larger than the sum of its proper divisors (22173620307937).

132131424131231 is a wasteful number, since it uses less digits than its factorization.

132131424131231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368291.

The product of its digits is 10368, while the sum is 32.

The spelling of 132131424131231 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, four hundred twenty-four million, one hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 7 73 137 511 959 1381 9667 10001 70007 100813 189197 705691 1324379 1366693 9566851 13811381 96679667 99768589 187236941 698380123 1310658587 1887403033 13211821231 13668296693 95678076851 137780421409 258574215521 964462949863 1810019508647 18875917733033 132131424131231