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331131130313312 = 25717412120895229
BaseRepresentation
bin100101101001010010111100…
…1011001010111101001100000
31121102102211022210212212211002
41023102211321121113221200
5321400223023330011222
63132131312523411132
7126514302045200630
oct11322457131275140
91542384283785732
10331131130313312
1196565a1854472a
123117b521683aa8
131129c6bac19864
145baab918846c0
152843732085392
hex12d2979657a60

331131130313312 has 96 divisors (see below), whose sum is σ = 808111984115520. Its totient is φ = 130307802808320.

The previous prime is 331131130313303. The next prime is 331131130313317. The reversal of 331131130313312 is 213313031131133.

It is a super-2 number, since 2×3311311303133122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331131130313317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1060291487 + ... + 1060603742.

It is an arithmetic number, because the mean of its divisors is an integer number (8417833167870).

Almost surely, 2331131130313312 is an apocalyptic number.

331131130313312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331131130313312 is an abundant number, since it is smaller than the sum of its proper divisors (476980853802208).

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

331131130313312 is a wasteful number, since it uses less digits than its factorization.

331131130313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120895304 (or 2120895296 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 29.

Adding to 331131130313312 its reverse (213313031131133), we get a palindrome (544444161444445).

The spelling of 331131130313312 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, one hundred thirty million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 41 56 68 82 112 119 136 164 224 238 272 287 328 476 544 574 656 697 952 1148 1312 1394 1904 2296 2788 3808 4592 4879 5576 9184 9758 11152 19516 22304 39032 78064 156128 2120895229 4241790458 8483580916 14846266603 16967161832 29692533206 33934323664 36055218893 59385066412 67868647328 72110437786 86956704389 118770132824 144220875572 173913408778 237540265648 252386532251 288441751144 347826817556 475080531296 504773064502 576883502288 608696930723 695653635112 1009546129004 1153767004576 1217393861446 1391307270224 1478263974613 2019092258008 2434787722892 2782614540448 2956527949226 4038184516016 4869575445784 5913055898452 8076369032032 9739150891568 10347847822291 11826111796904 19478301783136 20695695644582 23652223593808 41391391289164 47304447187616 82782782578328 165565565156656 331131130313312