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103098561912 = 2334897972243
BaseRepresentation
bin110000000000100100…
…1110011010101111000
3100212010010010121010000
41200001021303111320
53142121212440122
6115210211553000
710306610213463
oct1400111632570
9325103117100
10103098561912
113a7a64a5575
1217b935bb760
139950753028
144dc07a22da
152a3629c0ac
hex1801273578

103098561912 has 160 divisors (see below), whose sum is σ = 292512805200. Its totient is φ = 33922285056.

The previous prime is 103098561889. The next prime is 103098561959. The reversal of 103098561912 is 219165890301.

103098561912 is a `hidden beast` number, since 10 + 3 + 0 + 9 + 8 + 5 + 619 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45963463 + ... + 45965705.

Almost surely, 2103098561912 is an apocalyptic number.

103098561912 is a gapful number since it is divisible by the number (12) 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 103098561912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146256402600).

103098561912 is an abundant number, since it is smaller than the sum of its proper divisors (189414243288).

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

103098561912 is a wasteful number, since it uses less digits than its factorization.

103098561912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 103098561912 in words is "one hundred three billion, ninety-eight million, five hundred sixty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 89 108 162 178 216 267 324 356 534 648 712 797 801 1068 1594 1602 2136 2243 2391 2403 3188 3204 4486 4782 4806 6376 6408 6729 7173 7209 8972 9564 9612 13458 14346 14418 17944 19128 19224 20187 21519 26916 28692 28836 40374 43038 53832 57384 57672 60561 64557 70933 80748 86076 121122 129114 141866 161496 172152 181683 199627 212799 242244 258228 283732 363366 399254 425598 484488 516456 567464 598881 638397 726732 798508 851196 1197762 1276794 1453464 1597016 1702392 1787671 1796643 1915191 2395524 2553588 3575342 3593286 3830382 4791048 5107176 5363013 5389929 5745573 7150684 7186572 7660764 10726026 10779858 11491146 14301368 14373144 15321528 16089039 16169787 21452052 21559716 22982292 32178078 32339574 42904104 43119432 45964584 48267117 64356156 64679148 96534234 128712312 129358296 144801351 159102719 193068468 289602702 318205438 386136936 477308157 579205404 636410876 954616314 1158410808 1272821752 1431924471 1909232628 2863848942 3818465256 4295773413 5727697884 8591546826 11455395768 12887320239 17183093652 25774640478 34366187304 51549280956 103098561912