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132121121121231 = 31121093339174593
BaseRepresentation
bin11110000010100111011000…
…011111011110001111001111
3122022210122201002121121102220
4132002213120133132033033
5114304133024001334411
61144555334412550423
736554302355564124
oct3602473037361717
9568718632547386
10132121121121231
1139109286534100
1212999b60182413
135894c7836b158
14248a9a6c3074b
151041b90b85b06
hex7829d87de3cf

132121121121231 has 24 divisors (see below), whose sum is σ = 195408497240880. Its totient is φ = 79338788305920.

The previous prime is 132121121121181. The next prime is 132121121121239.

132121121121231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132121121121231 - 27 = 132121121121103 is a prime.

It is a super-2 number, since 2×1321211211212312 (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 (132121121121239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1669547730 + ... + 1669626863.

It is an arithmetic number, because the mean of its divisors is an integer number (8142020718370).

Almost surely, 2132121121121231 is an apocalyptic number.

132121121121231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132121121121231 is a deficient number, since it is larger than the sum of its proper divisors (63287376119649).

132121121121231 is a wasteful number, since it uses less digits than its factorization.

132121121121231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339174727 (or 3339174716 counting only the distinct ones).

The product of its digits is 288, while the sum is 24.

The spelling of 132121121121231 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 3 11 33 109 121 327 363 1199 3597 13189 39567 3339174593 10017523779 36730920523 110192761569 363970030637 404040125753 1091910091911 1212120377259 4003670337007 12011011011021 44040373707077 132121121121231