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131303122013232 = 243213312262598601
BaseRepresentation
bin11101110110101101100011…
…111100100000110000110000
3122012220110022022222110000200
4131312231203330200300300
5114202232243213410412
61143131453241115200
736441223524103431
oct3566554374406060
9565813268873020
10131303122013232
1138923383347144
1212887511a88b00
135835aa6414220
14245d168231488
15102a7676149dc
hex776b63f20c30

131303122013232 has 120 divisors (see below), whose sum is σ = 408498601999488. Its totient is φ = 39097703808000.

The previous prime is 131303122013221. The next prime is 131303122013233. The reversal of 131303122013232 is 232310221303131.

131303122013232 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 312 + 20 + 1 + 323 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131303122013196 and 131303122013205.

It is not an unprimeable number, because it can be changed into a prime (131303122013233) 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, 1131241269 + ... + 1131357332.

Almost surely, 2131303122013232 is an apocalyptic number.

131303122013232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131303122013232 is an abundant number, since it is smaller than the sum of its proper divisors (277195479986256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131303122013232 is a wasteful number, since it uses less digits than its factorization.

131303122013232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262598659 (or 2262598650 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131303122013232 its reverse (232310221303131), we get a palindrome (363613343316363).

The spelling of 131303122013232 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twenty-two million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 312 372 403 468 496 558 624 744 806 936 1116 1209 1488 1612 1872 2232 2418 3224 3627 4464 4836 6448 7254 9672 14508 19344 29016 58032 2262598601 4525197202 6787795803 9050394404 13575591606 18100788808 20363387409 27151183212 29413781813 36201577616 40726774818 54302366424 58827563626 70140556631 81453549636 88241345439 108604732848 117655127252 140281113262 162907099272 176482690878 210421669893 235310254504 264724036317 280562226524 325814198544 352965381756 420843339786 470620509008 529448072634 561124453048 631265009679 705930763512 841686679572 911827236203 1058896145268 1122248906096 1262530019358 1411861527024 1683373359144 1823654472406 2117792290536 2525060038716 2735481708609 3366746718288 3647308944812 4235584581072 5050120077432 5470963417218 7294617889624 8206445125827 10100240154864 10941926834436 14589235779248 16412890251654 21883853668872 32825780503308 43767707337744 65651561006616 131303122013232