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31312331320 = 2355946728411
BaseRepresentation
bin11101001010010111…
…000100001000111000
32222211012200020111211
4131022113010020320
51003111424100240
622215031532504
72155643265454
oct351227041070
988735606454
1031312331320
1112308aa3a76
12609a52a134
132c50229aca
141730859664
15c33e52bea
hex74a5c4238

31312331320 has 64 divisors (see below), whose sum is σ = 71802806400. Its totient is φ = 12285847680.

The previous prime is 31312331317. The next prime is 31312331333. The reversal of 31312331320 is 2313321313.

It is a junction number, because it is equal to n+sod(n) for n = 31312331291 and 31312331300.

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, 1087915 + ... + 1116325.

It is an arithmetic number, because the mean of its divisors is an integer number (1121918850).

Almost surely, 231312331320 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 31312331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35901403200).

31312331320 is an abundant number, since it is smaller than the sum of its proper divisors (40490475080).

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

31312331320 is a wasteful number, since it uses less digits than its factorization.

31312331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28948 (or 28944 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 31312331320 its reverse (2313321313), we get a palindrome (33625652633).

It can be divided in two parts, 313123 and 31320, that added together give a palindrome (344443).

The spelling of 31312331320 in words is "thirty-one billion, three hundred twelve million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 467 472 590 934 1180 1868 2335 2360 3736 4670 9340 18680 27553 28411 55106 56822 110212 113644 137765 142055 220424 227288 275530 284110 551060 568220 1102120 1136440 1676249 3352498 6704996 8381245 13267937 13409992 16762490 26535874 33524980 53071748 66339685 67049960 106143496 132679370 265358740 530717480 782808283 1565616566 3131233132 3914041415 6262466264 7828082830 15656165660 31312331320