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31013032331032 = 23194319791926209
BaseRepresentation
bin1110000110100110010001…
…10001101000011100011000
311001210211001112202012021021
413003103020301220130120
513031104142234043112
6145543105041452224
76350421565210363
oct703231061503430
9131724045665237
1031013032331032
11997760a274164
12358a649941074
13143c6936b976b
147930785770da
1538bac072b907
hex1c34c8c68718

31013032331032 has 128 divisors (see below), whose sum is σ = 63022259520000. Its totient is φ = 14259832344576.

The previous prime is 31013032331009. The next prime is 31013032331059. The reversal of 31013032331032 is 23013323031013.

It is a super-2 number, since 2×310130323310322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31013032330988 and 31013032331006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1183283944 + ... + 1183310152.

It is an arithmetic number, because the mean of its divisors is an integer number (492361402500).

Almost surely, 231013032331032 is an apocalyptic number.

It is an amenable number.

31013032331032 is an abundant number, since it is smaller than the sum of its proper divisors (32009227188968).

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

31013032331032 is a wasteful number, since it uses less digits than its factorization.

31013032331032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27393 (or 27389 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 31013032331032 its reverse (23013323031013), we get a palindrome (54026355362045).

The spelling of 31013032331032 in words is "thirty-one trillion, thirteen billion, thirty-two million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 19 38 43 76 86 152 172 197 344 394 788 817 919 1576 1634 1838 3268 3676 3743 6536 7352 7486 8471 14972 16942 17461 26209 29944 33884 34922 39517 52418 67768 69844 79034 104836 139688 158068 160949 181043 209672 316136 321898 362086 497971 643796 724172 750823 995942 1126987 1287592 1448344 1501646 1991884 2253974 3003292 3439817 3983768 4507948 5163173 6006584 6879634 7784849 9015896 10326346 13759268 15569698 20652692 21412753 24086071 27518536 31139396 41305384 42825506 48172142 62278792 85651012 96344284 98100287 147912131 171302024 192688568 196200574 222016439 295824262 392401148 444032878 457635349 591648524 784802296 888065756 915270698 1035701053 1183297048 1776131512 1830541396 2071402106 3661082792 4142804212 4218312341 4744955987 8285608424 8436624682 9489911974 16873249364 18979823948 19678320007 33746498728 37959647896 39356640014 78713280028 90154163753 157426560056 180308327506 204033107441 360616655012 408066214882 721233310024 816132429764 1632264859528 3876629041379 7753258082758 15506516165516 31013032331032