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212000131031332 = 227192986315922663
BaseRepresentation
bin110000001101000000100000…
…100000001010000100100100
31000210122000101122021020120011
4300031000200200022010210
5210241402232021000312
62030515303220020004
762440334610144550
oct6015004040120444
91023560348236504
10212000131031332
1161605829153a06
121b93b066b31604
13913a6acb687a7
143a4cc0ab90860
151979923743da7
hexc0d02080a124

212000131031332 has 96 divisors (see below), whose sum is σ = 462241304985600. Its totient is φ = 83010823926912.

The previous prime is 212000131031281. The next prime is 212000131031399. The reversal of 212000131031332 is 233130131000212.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5353033 + ... + 21275695.

It is an arithmetic number, because the mean of its divisors is an integer number (4815013593600).

Almost surely, 2212000131031332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212000131031332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231120652492800).

212000131031332 is an abundant number, since it is smaller than the sum of its proper divisors (250241173954268).

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

212000131031332 is a wasteful number, since it uses less digits than its factorization.

212000131031332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15923585 (or 15923583 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 212000131031332 its reverse (233130131000212), we get a palindrome (445130262031544).

The spelling of 212000131031332 in words is "two hundred twelve trillion, one hundred thirty-one million, thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 116 133 203 266 406 532 551 812 863 1102 1726 2204 3452 3857 6041 7714 12082 15428 16397 24164 25027 32794 50054 65588 100108 114779 175189 229558 350378 459116 475513 700756 951026 1902052 3328591 6657182 13314364 15922663 31845326 63690652 111458641 222917282 302530597 445834564 461757227 605061194 923514454 1210122388 1847028908 2117714179 3232300589 4235428358 6464601178 8470856716 8773387313 12929202356 13741258169 17546774626 27482516338 35093549252 54965032676 61413711191 96188807183 122827422382 192377614366 245654844764 261083905211 384755228732 398496486901 522167810422 796992973802 1044335620844 1593985947604 1827587336477 2789475408307 3655174672954 5578950816614 7310349345908 7571433251119 11157901633228 15142866502238 30285733004476 53000032757833 106000065515666 212000131031332