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331311242611032 = 23379599820935537
BaseRepresentation
bin100101101010100110110100…
…0111011010000100101011000
31121110002001020010221121120120
41023111031220323100211120
5321411200411102023112
63132350141135153240
7126533306306362425
oct11325155073204530
91543061203847516
10331311242611032
1196625344207842
12311aa408975820
13112b3692bbc258
145bb579a552d4c
152848274571e8c
hex12d5368ed0958

331311242611032 has 128 divisors (see below), whose sum is σ = 840288902400000. Its totient is φ = 108840784306176.

The previous prime is 331311242611021. The next prime is 331311242611169. The reversal of 331311242611032 is 230116242113133.

It is a super-3 number, since 3×3313112426110323 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 331311242610984 and 331311242611002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9322976368 + ... + 9323011904.

It is an arithmetic number, because the mean of its divisors is an integer number (6564757050000).

Almost surely, 2331311242611032 is an apocalyptic number.

It is an amenable number.

331311242611032 is an abundant number, since it is smaller than the sum of its proper divisors (508977659788968).

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

331311242611032 is a wasteful number, since it uses less digits than its factorization.

331311242611032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44433 (or 44429 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 331311242611032 its reverse (230116242113133), we get a palindrome (561427484724165).

The spelling of 331311242611032 in words is "three hundred thirty-one trillion, three hundred eleven billion, two hundred forty-two million, six hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 599 632 948 1198 1797 1896 2396 3594 4792 7188 8209 14376 16418 24627 32836 35537 47321 49254 65672 71074 94642 98508 106611 141963 142148 189284 197016 213222 283926 284296 378568 426444 567852 648511 852888 1135704 1297022 1945533 2594044 2807423 3891066 4917191 5188088 5614846 7782132 8422269 9834382 11229692 14751573 15564264 16844538 19668764 21286663 22459384 29503146 33689076 39337528 42573326 59006292 63859989 67378152 85146652 118012584 127719978 170293304 255439956 291723233 388458089 510879912 583446466 776916178 875169699 1165374267 1166892932 1553832356 1681646377 1750339398 2330748534 2333785864 3107664712 3363292754 3500678796 4661497068 5044939131 6726585508 7001357592 9322994136 10089878262 13453171016 20179756524 23046135407 40359513048 46092270814 69138406221 92184541628 138276812442 174742216567 184369083256 276553624884 349484433134 524226649701 553107249768 698968866268 1048453299402 1397937732536 2096906598804 4193813197608 13804635108793 27609270217586 41413905326379 55218540435172 82827810652758 110437080870344 165655621305516 331311242611032