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10205340860 = 22511213324391
BaseRepresentation
bin10011000000100100…
…10010010010111100
3222100020011000211102
421200102102102330
5131400031401420
64404355512232
7510616652231
oct114022222274
928306130742
1010205340860
114367715700
121b898b8678
13c683c4740
146cb535788
153eae1ea75
hex2604924bc

10205340860 has 72 divisors (see below), whose sum is σ = 25368751968. Its totient is φ = 3425558400.

The previous prime is 10205340829. The next prime is 10205340883. The reversal of 10205340860 is 6804350201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130736 + ... + 193655.

Almost surely, 210205340860 is an apocalyptic number.

10205340860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205340860 is an abundant number, since it is smaller than the sum of its proper divisors (15163411108).

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

10205340860 is a wasteful number, since it uses less digits than its factorization.

10205340860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324435 (or 324422 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 10205340860 in words is "ten billion, two hundred five million, three hundred forty thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1430 1573 2420 2860 3146 6292 7865 15730 31460 324391 648782 1297564 1621955 3243910 3568301 4217083 6487820 7136602 8434166 14273204 16868332 17841505 21085415 35683010 39251311 42170830 46387913 71366020 78502622 84341660 92775826 157005244 185551652 196256555 231939565 392513110 463879130 510267043 785026220 927758260 1020534086 2041068172 2551335215 5102670430 10205340860