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331131120212112 = 2431121132917101749
BaseRepresentation
bin100101101001010010111100…
…0110010110101100010010000
31121102102211022002212200120120
41023102211320302311202100
5321400223013233241422
63132131311523110240
7126514301563300233
oct11322457062654220
91542384262780516
10331131120212112
1196565a12875530
123117b51a212380
131129c6b8ac0c0c
145baab903b541a
15284373123c45c
hex12d2978cb5890

331131120212112 has 160 divisors (see below), whose sum is σ = 933958587408000. Its totient is φ = 100259907010560.

The previous prime is 331131120212041. The next prime is 331131120212231. The reversal of 331131120212112 is 211212021131133.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3254341014 + ... + 3254442762.

It is an arithmetic number, because the mean of its divisors is an integer number (5837241171300).

Almost surely, 2331131120212112 is an apocalyptic number.

It is an amenable number.

331131120212112 is an abundant number, since it is smaller than the sum of its proper divisors (602827467195888).

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

331131120212112 is a wasteful number, since it uses less digits than its factorization.

331131120212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106801 (or 106795 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 331131120212112 its reverse (211212021131133), we get a palindrome (542343141343245).

The spelling of 331131120212112 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, one hundred twenty million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 2113 2917 4226 5834 6339 8452 8751 11668 12678 16904 17502 23243 23336 25356 32087 33808 35004 46486 46672 50712 64174 69729 70008 92972 96261 101424 101749 128348 139458 140016 185944 192522 203498 256696 278916 305247 371888 385044 406996 513392 557832 610494 770088 813992 1115664 1119239 1220988 1540176 1627984 2238478 2441976 3357717 4476956 4883952 6163621 6715434 8953912 12327242 13430868 17907824 18490863 24654484 26861736 36981726 49308968 53723472 67799831 73963452 98617936 135599662 147926904 203399493 214995637 271199324 295853808 296801833 406798986 429991274 542398648 593603666 644986911 813597972 859982548 890405499 1084797296 1187207332 1289973822 1627195944 1719965096 1780810998 2364952007 2374414664 2579947644 3254391888 3264820163 3439930192 3561621996 4729904014 4748829328 5159895288 6529640326 7094856021 7123243992 9459808028 9794460489 10319790576 13059280652 14189712042 14246487984 18919616056 19588920978 26118561304 28379424084 37839232112 39177841956 52237122608 56758848168 78355683912 113517696336 156711367824 627142273129 1254284546258 1881426819387 2508569092516 3762853638774 5017138185032 6898565004419 7525707277548 10034276370064 13797130008838 15051414555096 20695695013257 27594260017676 30102829110192 41391390026514 55188520035352 82782780053028 110377040070704 165565560106056 331131120212112