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10208182920 = 23351323284509
BaseRepresentation
bin10011000000111010…
…01000001010001000
3222100102111102101220
421200131020022020
5131401243323140
64404540442040
7510653060145
oct114035101210
928312442356
1010208182920
114369286a11
121b8a849320
13c68b7b230
146cba753cc
153eb2d1bd0
hex260748288

10208182920 has 128 divisors (see below), whose sum is σ = 34414329600. Its totient is φ = 2403523584.

The previous prime is 10208182909. The next prime is 10208182949. The reversal of 10208182920 is 2928180201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106375 + ... + 178134.

It is an arithmetic number, because the mean of its divisors is an integer number (268861950).

Almost surely, 210208182920 is an apocalyptic number.

10208182920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10208182920 is an abundant number, since it is smaller than the sum of its proper divisors (24206146680).

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

10208182920 is a wasteful number, since it uses less digits than its factorization.

10208182920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284559 (or 284555 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 10208182920 in words is "ten billion, two hundred eight million, one hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 460 520 552 598 690 780 897 920 1196 1380 1495 1560 1794 2392 2760 2990 3588 4485 5980 7176 8970 11960 17940 35880 284509 569018 853527 1138036 1422545 1707054 2276072 2845090 3414108 3698617 4267635 5690180 6543707 6828216 7397234 8535270 11095851 11380360 13087414 14794468 17070540 18493085 19631121 22191702 26174828 29588936 32718535 34141080 36986170 39262242 44383404 52349656 55479255 65437070 73972340 78524484 85068191 88766808 98155605 110958510 130874140 147944680 157048968 170136382 196311210 221917020 255204573 261748280 340272764 392622420 425340955 443834040 510409146 680545528 785244840 850681910 1020818292 1276022865 1701363820 2041636584 2552045730 3402727640 5104091460 10208182920