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331132212012 = 22377169837951
BaseRepresentation
bin1001101000110010000…
…01001001001100101100
31011122201011200021000110
410310121001021030230
520411124321241022
6412041532300020
732631523235010
oct4643101111454
91148634607013
10331132212012
11118483556a38
1254213611610
13252c1942434
1412053ab2540
1589308d300c
hex4d1904932c

331132212012 has 96 divisors (see below), whose sum is σ = 895696994304. Its totient is φ = 93251592000.

The previous prime is 331132212001. The next prime is 331132212023. The reversal of 331132212012 is 210212231133.

It is an interprime number because it is at equal distance from previous prime (331132212001) and next prime (331132212023).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 331132212012.

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, 41642637 + ... + 41650587.

It is an arithmetic number, because the mean of its divisors is an integer number (9330177024).

Almost surely, 2331132212012 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 331132212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447848497152).

331132212012 is an abundant number, since it is smaller than the sum of its proper divisors (564564782292).

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

331132212012 is a wasteful number, since it uses less digits than its factorization.

331132212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15019 (or 15017 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 331132212012 its reverse (210212231133), we get a palindrome (541344443145).

The spelling of 331132212012 in words is "three hundred thirty-one billion, one hundred thirty-two million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2982 5964 6983 7951 13966 15902 20949 23853 27932 31804 41898 47706 48881 55657 83796 95412 97762 111314 146643 166971 195524 222628 293286 333942 495793 564521 586572 667884 991586 1129042 1487379 1693563 1983172 2258084 2974758 3387126 3470551 3951647 5949516 6774252 6941102 7903294 10411653 11854941 13882204 15806588 20823306 23709882 41646612 47419764 55521833 111043666 166565499 222087332 333130998 388652831 666261996 777305662 1165958493 1554611324 2331916986 3942050143 4663833972 7884100286 11826150429 15768200572 23652300858 27594351001 47304601716 55188702002 82783053003 110377404004 165566106006 331132212012