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31320313132212 = 223213122954453821
BaseRepresentation
bin1110001111100010101000…
…01000110111010010110100
311002220012012110210020121100
413013301110020313102310
513101123000130212322
6150340204143450100
76411550362010446
oct707612410672264
9132805173706540
1031320313132212
119a85963276115
12361a1055b6930
131462653a59540
147a3ca864c496
15394aa71bedac
hex1c7c542374b4

31320313132212 has 72 divisors (see below), whose sum is σ = 85330228150440. Its totient is φ = 9629177898240.

The previous prime is 31320313132177. The next prime is 31320313132231. The reversal of 31320313132212 is 21223131302313.

31320313132212 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 0 + 313 + 132 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16779788386596 + 14540524745616 = 4096314^2 + 3813204^2 .

It is a super-2 number, since 2×313203131322122 (a number of 28 digits) contains 22 as substring.

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, 26651739 + ... + 27802082.

It is an arithmetic number, because the mean of its divisors is an integer number (1185142057645).

Almost surely, 231320313132212 is an apocalyptic number.

It is an amenable number.

31320313132212 is an abundant number, since it is smaller than the sum of its proper divisors (54009915018228).

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

31320313132212 is a wasteful number, since it uses less digits than its factorization.

31320313132212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54455073 (or 54455068 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31320313132212 its reverse (21223131302313), we get a palindrome (52543444434525).

The spelling of 31320313132212 in words is "thirty-one trillion, three hundred twenty billion, three hundred thirteen million, one hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1229 2458 3687 4916 7374 11061 14748 15977 22122 31954 44244 47931 63908 95862 143793 191724 287586 575172 54453821 108907642 163361463 217815284 326722926 490084389 653445852 707899673 980168778 1415799346 1960337556 2123699019 2831598692 4247398038 6371097057 8494796076 12742194114 25484388228 66923746009 133847492018 200771238027 267694984036 401542476054 602313714081 803084952108 870008698117 1204627428162 1740017396234 2409254856324 2610026094351 3480034792468 5220052188702 7830078283053 10440104377404 15660156566106 31320313132212