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331123000120 = 235112325321031
BaseRepresentation
bin1001101000110000111…
…10000000001100111000
31011122200112100020200021
410310120132000030320
520411114442000440
6412041003020224
732631352030123
oct4643036001470
91148615306607
10331123000120
11118479334a00
125421050a674
13252bca68503
14120527953ba
15892ebb384a
hex4d18780338

331123000120 has 96 divisors (see below), whose sum is σ = 819204392160. Its totient is φ = 120365625600.

The previous prime is 331123000051. The next prime is 331123000189. The reversal of 331123000120 is 21000321133.

It is an interprime number because it is at equal distance from previous prime (331123000051) and next prime (331123000189).

It is a junction number, because it is equal to n+sod(n) for n = 331123000094 and 331123000103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15734005 + ... + 15755035.

It is an arithmetic number, because the mean of its divisors is an integer number (8533379085).

Almost surely, 2331123000120 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 331123000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409602196080).

331123000120 is an abundant number, since it is smaller than the sum of its proper divisors (488081392040).

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

331123000120 is a wasteful number, since it uses less digits than its factorization.

331123000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24317 (or 24302 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 331123000120 its reverse (21000321133), we get a palindrome (352123321253).

The spelling of 331123000120 in words is "three hundred thirty-one billion, one hundred twenty-three million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 3253 4840 6506 13012 16265 21031 26024 32530 35783 42062 65060 71566 84124 105155 130120 143132 168248 178915 210310 231341 286264 357830 393613 420620 462682 715660 787226 841240 925364 1156705 1431320 1574452 1850728 1968065 2313410 2544751 3148904 3936130 4626820 5089502 7872260 9253640 10179004 12723755 15744520 20358008 25447510 50895020 68413843 101790040 136827686 273655372 342069215 547310744 684138430 752552273 1368276860 1505104546 2736553720 3010209092 3762761365 6020418184 7525522730 8278075003 15051045460 16556150006 30102090920 33112300012 41390375015 66224600024 82780750030 165561500060 331123000120