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232232130200312 = 2311231511384719739
BaseRepresentation
bin110100110011011011000001…
…101000000100001011111000
31010110021011201110002122100222
4310303123001220010023320
5220414342400312402222
62141525545013315212
766626134451453354
oct6463330150041370
91113234643078328
10232232130200312
1167aa6103245440
1222068186635b08
139c7751ba797b8
14414c148c58464
151bcad55e24542
hexd336c1a042f8

232232130200312 has 128 divisors (see below), whose sum is σ = 496155431116800. Its totient is φ = 100872328022400.

The previous prime is 232232130200311. The next prime is 232232130200321. The reversal of 232232130200312 is 213002031232232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232232130200311) 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, 11765131739 + ... + 11765151477.

It is an arithmetic number, because the mean of its divisors is an integer number (3876214305600).

Almost surely, 2232232130200312 is an apocalyptic number.

232232130200312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232232130200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248077715558400).

232232130200312 is an abundant number, since it is smaller than the sum of its proper divisors (263923300916488).

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

232232130200312 is a wasteful number, since it uses less digits than its factorization.

232232130200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25137 (or 25133 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 232232130200312 its reverse (213002031232232), we get a palindrome (445234161432544).

The spelling of 232232130200312 in words is "two hundred thirty-two trillion, two hundred thirty-two billion, one hundred thirty million, two hundred thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 1511 2024 3022 3847 6044 7694 12088 15388 16621 19739 30776 33242 34753 39478 42317 66484 69506 78956 84634 88481 132968 139012 157912 169268 176962 217129 278024 338536 353924 382283 434258 453997 707848 764566 868516 907994 973291 1529132 1737032 1815988 1946582 3058264 3631976 3893164 4993967 5812817 7786328 9987934 11625634 19975868 23251268 29825629 39951736 46502536 59651258 63940987 75935933 119302516 127881974 133694791 151871866 238605032 255763948 267389582 303743732 328081919 511527896 534779164 607487464 656163838 685989467 835295263 1069558328 1312327676 1371978934 1470642701 1670590526 1746526459 2624655352 2743957868 2941285402 3341181052 3493052918 5487915736 5882570804 6682362104 6986105836 7545884137 11765141608 13972211672 15091768274 19211791049 30183536548 38423582098 60367073096 76847164196 114739194763 153694328392 229478389526 458956779052 917913558104 1262131142393 2524262284786 2639001479549 5048524569572 5278002959098 10097049139144 10556005918196 21112011836392 29029016275039 58058032550078 116116065100156 232232130200312