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2332032132131 = 1322337411313019
BaseRepresentation
bin100001111011110111111…
…100100110010000100011
322020221101022212210022022
4201323313330212100203
5301202000211212011
64543153141532055
7330324634026632
oct41736774462043
98227338783268
102332032132131
1181a011385059
12317b68a1402b
1313bba9772a00
1480c29c9b519
15409dc8c38db
hex21ef7f26423

2332032132131 has 96 divisors (see below), whose sum is σ = 2794319700480. Its totient is φ = 1938975667200.

The previous prime is 2332032132113. The next prime is 2332032132139. The reversal of 2332032132131 is 1312312302332.

It is a de Polignac number, because none of the positive numbers 2k-2332032132131 is a prime.

It is a super-2 number, since 2×23320321321312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2332032132131.

It is not an unprimeable number, because it can be changed into a prime (2332032132139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 772450340 + ... + 772453358.

It is an arithmetic number, because the mean of its divisors is an integer number (29107496880).

Almost surely, 22332032132131 is an apocalyptic number.

2332032132131 is a deficient number, since it is larger than the sum of its proper divisors (462287568349).

2332032132131 is a wasteful number, since it uses less digits than its factorization.

2332032132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 2332032132131 its reverse (1312312302332), we get a palindrome (3644344434463).

The spelling of 2332032132131 in words is "two trillion, three hundred thirty-two billion, thirty-two million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 13 23 37 41 131 169 299 481 533 851 943 1517 1703 3013 3019 3887 4847 5371 6253 6929 11063 12259 19721 22139 34891 39169 39247 63011 69437 69823 111481 111703 123533 123779 143819 159367 198727 256373 395489 453583 509197 510211 819143 902681 907699 1449253 1452139 1605929 1609127 2569169 2583451 2846917 4570721 4579823 5141357 5896579 9096247 11734853 14633093 16215049 18840289 18877807 20877077 20918651 33399197 33584863 37009921 59419373 59537699 66837641 105335929 118251211 190230209 210795637 336561139 372946127 434189561 481128973 599956813 772451849 773990087 1369367077 1537265743 2472992717 2740343281 4375294807 4848299651 7799438569 13799006699 17801772001 56878832491 63027895463 101392701397 179387087087 2332032132131