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10031013220 = 22573131179293
BaseRepresentation
bin10010101011110010…
…10001110101100100
3221220002010021021011
421111321101311210
5131020414410340
64335211232004
7503402130334
oct112571216544
927802107234
1010031013220
114288277778
121b3b448604
13c3b2586a7
146b23170c4
153da9870ea
hex255e51d64

10031013220 has 96 divisors (see below), whose sum is σ = 21710747520. Its totient is φ = 3891962880.

The previous prime is 10031013173. The next prime is 10031013221. The reversal of 10031013220 is 2231013001.

10031013220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10031013220.

It is not an unprimeable number, because it can be changed into a prime (10031013221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34235394 + ... + 34235686.

It is an arithmetic number, because the mean of its divisors is an integer number (226153620).

Almost surely, 210031013220 is an apocalyptic number.

10031013220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031013220 is an abundant number, since it is smaller than the sum of its proper divisors (11679734300).

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

10031013220 is a wasteful number, since it uses less digits than its factorization.

10031013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10031013220 its reverse (2231013001), we get a palindrome (12262026221).

The spelling of 10031013220 in words is "ten billion, thirty-one million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 131 146 179 262 292 293 358 365 524 586 655 716 730 895 1172 1310 1460 1465 1790 2620 2930 3580 5860 9563 13067 19126 21389 23449 26134 38252 38383 42778 46898 47815 52268 52447 65335 76766 85556 93796 95630 104894 106945 117245 130670 153532 191260 191915 209788 213890 234490 261340 262235 383830 427780 468980 524470 767660 1048940 1711777 2801959 3423554 3828631 5603918 6847108 6870557 7657262 8558885 11207836 13741114 14009795 15314524 17117770 19143155 27482228 28019590 34235540 34352785 38286310 56039180 68705570 76572620 137411140 501550661 1003101322 2006202644 2507753305 5015506610 10031013220