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101049991560 = 2334574455467
BaseRepresentation
bin101111000011100001…
…1001000000110001000
3100122211100101102220000
41132013003020012020
53123422244212220
6114231032003000
710205053520250
oct1360703100610
9318740342800
10101049991560
11399450a4321
1217701530460
1396b520121b
144c686a2960
1529664e3390
hex17870c8188

101049991560 has 160 divisors (see below), whose sum is σ = 388160372160. Its totient is φ = 23097135744.

The previous prime is 101049991541. The next prime is 101049991573. The reversal of 101049991560 is 65199940101.

101049991560 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 499 + 9 + 156 + 0 = 666.

It is a super-2 number, since 2×1010499915602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2205054 + ... + 2250413.

It is an arithmetic number, because the mean of its divisors is an integer number (2426002326).

Almost surely, 2101049991560 is an apocalyptic number.

101049991560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101049991560 is an abundant number, since it is smaller than the sum of its proper divisors (287110380600).

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

101049991560 is a wasteful number, since it uses less digits than its factorization.

101049991560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455497 (or 4455484 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 101049991560 in words is "one hundred one billion, forty-nine million, nine hundred ninety-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 4455467 8910934 13366401 17821868 22277335 26732802 31188269 35643736 40099203 44554670 53465604 62376538 66832005 80198406 89109340 93564807 106931208 120297609 124753076 133664010 155941345 160396812 178218680 187129614 200496015 240595218 249506152 267328020 280694421 311882690 320793624 360892827 374259228 400992030 467824035 481190436 534656040 561388842 601488045 623765380 721785654 748518456 801984060 842083263 935648070 962380872 1122777684 1202976090 1247530760 1403472105 1443571308 1603968120 1684166526 1804464135 1871296140 2245555368 2405952180 2526249789 2806944210 2887142616 3368333052 3608928270 3742592280 4210416315 4811904360 5052499578 5613888420 6736666104 7217856540 8420832630 10104999156 11227776840 12631248945 14435713080 16841665260 20209998312 25262497890 33683330520 50524995780 101049991560