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102053653243560 = 233252368071197103
BaseRepresentation
bin10111001101000100110111…
…101111111110011010101000
3111101100020022120012112220200
4113031010313233332122220
5101334021340212243220
61001014445010552200
730332063443532034
oct2715046757763250
9441306276175820
10102053653243560
112a5767907a4a67
12b542821b98660
1344c380627c9c5
141b2b5cd2811c4
15bbe9b2c1e890
hex5cd137bfe6a8

102053653243560 has 96 divisors (see below), whose sum is σ = 331676050717440. Its totient is φ = 27214169876352.

The previous prime is 102053653243559. The next prime is 102053653243579. The reversal of 102053653243560 is 65342356350201.

102053653243560 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 5 + 3 + 65 + 3 + 24 + 3 + 560 = 666.

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 23 ways as a sum of consecutive naturals, for example, 84651969 + ... + 85849071.

It is an arithmetic number, because the mean of its divisors is an integer number (3454958861640).

Almost surely, 2102053653243560 is an apocalyptic number.

102053653243560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102053653243560 is an abundant number, since it is smaller than the sum of its proper divisors (229622397473880).

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

102053653243560 is a wasteful number, since it uses less digits than its factorization.

102053653243560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433927 (or 1433920 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 102053653243560 in words is "one hundred two trillion, fifty-three billion, six hundred fifty-three million, two hundred forty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 236807 473614 710421 947228 1184035 1197103 1420842 1894456 2131263 2368070 2394206 2841684 3552105 3591309 4262526 4736140 4788412 5683368 5985515 7104210 7182618 8525052 9472280 9576824 10656315 10773927 11971030 14208420 14365236 17050104 17956545 21312630 21547854 23942060 28416840 28730472 35913090 42625260 43095708 47884120 53869635 71826180 85250520 86191416 107739270 143652360 215478540 430957080 283482370121 566964740242 850447110363 1133929480484 1417411850605 1700894220726 2267858960968 2551341331089 2834823701210 3401788441452 4252235551815 5102682662178 5669647402420 6803576882904 8504471103630 10205365324356 11339294804840 12756706655445 17008942207260 20410730648712 25513413310890 34017884414520 51026826621780 102053653243560