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31312131320 = 23541472711499
BaseRepresentation
bin11101001010010110…
…010011010011111000
32222211012022002011102
4131022112103103320
51003111401200240
622215023350532
72155641503411
oct351226232370
988735262142
1031312131320
1112308977788
12609a452448
132c50189a72
141730806808
15c33e13815
hex74a5934f8

31312131320 has 128 divisors (see below), whose sum is σ = 74027520000. Its totient is φ = 11907302400.

The previous prime is 31312131317. The next prime is 31312131329. The reversal of 31312131320 is 2313121313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31312131292 and 31312131301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31312131329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20887931 + ... + 20889429.

It is an arithmetic number, because the mean of its divisors is an integer number (578340000).

Almost surely, 231312131320 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 31312131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760000).

31312131320 is an abundant number, since it is smaller than the sum of its proper divisors (42715388680).

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

31312131320 is a wasteful number, since it uses less digits than its factorization.

31312131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 31312131320 its reverse (2313121313), we get a palindrome (33625252633).

The spelling of 31312131320 in words is "thirty-one billion, three hundred twelve million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 47 82 94 164 188 205 235 271 328 376 410 470 542 820 940 1084 1355 1499 1640 1880 1927 2168 2710 2998 3854 5420 5996 7495 7708 9635 10840 11111 11992 12737 14990 15416 19270 22222 25474 29980 38540 44444 50948 55555 59960 61459 63685 70453 77080 88888 101896 111110 122918 127370 140906 222220 245836 254740 281812 307295 352265 406229 444440 491672 509480 522217 563624 614590 704530 812458 1044434 1229180 1409060 1624916 2031145 2088868 2458360 2611085 2818120 2888573 3249832 4062290 4177736 5222170 5777146 8124580 10444340 11554292 14442865 16249160 16655389 19092763 20888680 23108584 28885730 33310778 38185526 57771460 66621556 76371052 83276945 95463815 115542920 133243112 152742104 166553890 190927630 333107780 381855260 666215560 763710520 782803283 1565606566 3131213132 3914016415 6262426264 7828032830 15656065660 31312131320