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10091009124 = 223271713117981
BaseRepresentation
bin10010110010111100…
…01001010001100100
3222001021000101011200
421121132021101210
5131131244242444
64345153202500
7505031106450
oct113136112144
928037011150
1010091009124
114309125569
121b57560430
13c4a803821
146ba293660
153e0d88969
hex259789464

10091009124 has 144 divisors (see below), whose sum is σ = 31103968896. Its totient is φ = 2692684800.

The previous prime is 10091009111. The next prime is 10091009161. The reversal of 10091009124 is 42190019001.

10091009124 = T391 + T392 + ... + T3927.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 552214 + ... + 570194.

It is an arithmetic number, because the mean of its divisors is an integer number (215999784).

Almost surely, 210091009124 is an apocalyptic number.

10091009124 is a gapful number since it is divisible by the number (14) 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 10091009124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15551984448).

10091009124 is an abundant number, since it is smaller than the sum of its proper divisors (21012959772).

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

10091009124 is a wasteful number, since it uses less digits than its factorization.

10091009124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18146 (or 18141 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 10091009124 in words is "ten billion, ninety-one million, nine thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 131 153 204 238 252 262 306 357 393 476 524 612 714 786 917 1071 1179 1428 1572 1834 2142 2227 2358 2751 3668 4284 4454 4716 5502 6681 8253 8908 11004 13362 15589 16506 17981 20043 26724 31178 33012 35962 40086 46767 53943 62356 71924 80172 93534 107886 125867 140301 161829 187068 215772 251734 280602 305677 323658 377601 503468 561204 611354 647316 755202 917031 1132803 1222708 1510404 1834062 2139739 2265606 2355511 2751093 3668124 4279478 4531212 4711022 5502186 6419217 7066533 8558956 9422044 11004372 12838434 14133066 16488577 19257651 21199599 25676868 28266132 32977154 38515302 40043687 42399198 49465731 65954308 77030604 80087374 84798396 98931462 120131061 148397193 160174748 197862924 240262122 280305809 296794386 360393183 480524244 560611618 593588772 720786366 840917427 1121223236 1441572732 1681834854 2522752281 3363669708 5045504562 10091009124