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10200510204 = 22317472933631
BaseRepresentation
bin10010111111111111…
…10110111011111100
3222022220001121102020
421133333312323330
5131342312311304
64404104200140
7510530622543
oct113777667374
928286047366
1010200510204
114364a16325
121b88169050
13c673c2a71
146caa3915a
153ea7b85d9
hex25fff6efc

10200510204 has 96 divisors (see below), whose sum is σ = 25832411136. Its totient is φ = 3120522240.

The previous prime is 10200510169. The next prime is 10200510211. The reversal of 10200510204 is 40201500201.

It is a congruent number.

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, 2807469 + ... + 2811099.

It is an arithmetic number, because the mean of its divisors is an integer number (269087616).

Almost surely, 210200510204 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 10200510204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12916205568).

10200510204 is an abundant number, since it is smaller than the sum of its proper divisors (15631900932).

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

10200510204 is a wasteful number, since it uses less digits than its factorization.

10200510204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3995 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The spelling of 10200510204 in words is "ten billion, two hundred million, five hundred ten thousand, two hundred four".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 293 564 586 799 879 1172 1598 1758 2397 3196 3516 3631 4794 4981 7262 9588 9962 10893 13771 14524 14943 19924 21786 27542 29886 41313 43572 55084 59772 61727 82626 123454 165252 170657 185181 234107 246908 341314 370362 468214 511971 682628 702321 740724 936428 1023942 1063883 1404642 2047884 2127766 2809284 2901169 3191649 4255532 5802338 6383298 8703507 11604676 12766596 17407014 18086011 34814028 36172022 50002501 54258033 72344044 100005002 108516066 150007503 200010004 217032132 300015006 600030012 850042517 1700085034 2550127551 3400170068 5100255102 10200510204