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10122912384 = 273136832969
BaseRepresentation
bin10010110110101111…
…10110001010000000
3222010111001020012220
421123113312022000
5131212431144014
64352253051040
7505566223044
oct113327661200
928114036186
1010122912384
1143251359a2
121b66186a80
13c542c3bb0
146c05da024
153e3a8b6a9
hex25b5f6280

10122912384 has 128 divisors (see below), whose sum is σ = 29009534400. Its totient is φ = 3109134336.

The previous prime is 10122912383. The next prime is 10122912407. The reversal of 10122912384 is 48321922101.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (10122912383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3408052 + ... + 3411020.

Almost surely, 210122912384 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 10122912384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14504767200).

10122912384 is an abundant number, since it is smaller than the sum of its proper divisors (18886622016).

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

10122912384 is a wasteful number, since it uses less digits than its factorization.

10122912384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3682 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 10122912384 in words is "ten billion, one hundred twenty-two million, nine hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 683 832 1248 1366 1664 2049 2496 2732 2969 4098 4992 5464 5938 8196 8879 8907 10928 11876 16392 17758 17814 21856 23752 26637 32784 35516 35628 38597 43712 47504 53274 65568 71032 71256 77194 87424 95008 106548 115791 131136 142064 142512 154388 190016 213096 231582 262272 284128 285024 308776 380032 426192 463164 568256 570048 617552 852384 926328 1136512 1140096 1235104 1704768 1852656 2027827 2470208 3409536 3705312 4055654 4940416 6083481 7410624 8111308 12166962 14821248 16222616 24333924 26361751 32445232 48667848 52723502 64890464 79085253 97335696 105447004 129780928 158170506 194671392 210894008 259561856 316341012 389342784 421788016 632682024 778685568 843576032 1265364048 1687152064 2530728096 3374304128 5061456192 10122912384