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331132212203232 = 25311378474923531
BaseRepresentation
bin100101101001010011011100…
…1111000011100111011100000
31121102102221010012122120210010
41023102212321320130323200
5321400232232311000412
63132132012132204520
7126514340623125636
oct11322467170347340
91542387105576703
10331132212203232
119656642320a630
123117b783a69740
131129c8310c93cb
145baac5542b356
15284379704033c
hex12d29b9e1cee0

331132212203232 has 96 divisors (see below), whose sum is σ = 973870412909184. Its totient is φ = 97631119065600.

The previous prime is 331132212203227. The next prime is 331132212203279. The reversal of 331132212203232 is 232302212231133.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 331132212203232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4237422694 + ... + 4237500837.

It is an arithmetic number, because the mean of its divisors is an integer number (10144483467804).

Almost surely, 2331132212203232 is an apocalyptic number.

331132212203232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331132212203232 is an abundant number, since it is smaller than the sum of its proper divisors (642738200705952).

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

331132212203232 is a wasteful number, since it uses less digits than its factorization.

331132212203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8474923592 (or 8474923584 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 331132212203232 its reverse (232302212231133), we get a palindrome (563434424434365).

The spelling of 331132212203232 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, two hundred twelve million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3256 3552 4884 6512 9768 13024 19536 39072 8474923531 16949847062 25424770593 33899694124 50849541186 67799388248 93224158841 101699082372 135598776496 186448317682 203398164744 271197552992 279672476523 313572170647 372896635364 406796329488 559344953046 627144341294 745793270728 813592658976 940716511941 1118689906092 1254288682588 1491586541456 1881433023882 2237379812184 2508577365176 2983173082912 3449293877117 3762866047764 4474759624368 5017154730352 6898587754234 7525732095528 8949519248736 10034309460704 10347881631351 13797175508468 15051464191056 20695763262702 27594351016936 30102928382112 41391526525404 55188702033872 82783053050808 110377404067744 165566106101616 331132212203232