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10031012420 = 225111329120943
BaseRepresentation
bin10010101011110010…
…10001101001000100
3221220002010020011112
421111321101221010
5131020414344140
64335211224152
7503402125112
oct112571215104
927802106145
1010031012420
114288277110
121b3b448058
13c3b258210
146b2316ab2
153da986c65
hex255e51a44

10031012420 has 96 divisors (see below), whose sum is σ = 25601425920. Its totient is φ = 3250920960.

The previous prime is 10031012413. The next prime is 10031012441. The reversal of 10031012420 is 2421013001.

It is a junction number, because it is equal to n+sod(n) for n = 10031012395 and 10031012404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22469 + ... + 143411.

It is an arithmetic number, because the mean of its divisors is an integer number (266681520).

Almost surely, 210031012420 is an apocalyptic number.

10031012420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031012420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12800712960).

10031012420 is an abundant number, since it is smaller than the sum of its proper divisors (15570413500).

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

10031012420 is a wasteful number, since it uses less digits than its factorization.

10031012420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121005 (or 121003 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10031012420 its reverse (2421013001), we get a palindrome (12452025421).

The spelling of 10031012420 in words is "ten billion, thirty-one million, twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 29 44 52 55 58 65 110 116 130 143 145 220 260 286 290 319 377 572 580 638 715 754 1276 1430 1508 1595 1885 2860 3190 3770 4147 6380 7540 8294 16588 20735 41470 82940 120943 241886 483772 604715 1209430 1330373 1572259 2418860 2660746 3144518 3507347 5321492 6289036 6651865 7014694 7861295 13303730 14029388 15722590 17294849 17536735 26607460 31445180 34589698 35073470 38580817 45595511 69179396 70146940 77161634 86474245 91191022 154323268 172948490 182382044 192904085 227977555 345896980 385808170 455955110 501550621 771616340 911910220 1003101242 2006202484 2507753105 5015506210 10031012420