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102122363063070 = 23257223156998427
BaseRepresentation
bin10111001110000100110111…
…001011001000101100011110
3111101120210200001212000212200
4113032010313023020230132
5101341133044421004240
61001110211012512330
730340045233416400
oct2716046713105436
9441523601760780
10102122363063070
112a5a293a696369
12b553bb891b6a6
1344ca136319a3c
141b30a6a7b0b70
15bc1684e2e930
hex5ce1372c8b1e

102122363063070 has 72 divisors (see below), whose sum is σ = 308868045032664. Its totient is φ = 23342254413408.

The previous prime is 102122363063059. The next prime is 102122363063087. The reversal of 102122363063070 is 70360363221201.

102122363063070 is a `hidden beast` number, since 1 + 0 + 2 + 12 + 2 + 3 + 6 + 3 + 0 + 630 + 7 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11578494804 + ... + 11578503623.

It is an arithmetic number, because the mean of its divisors is an integer number (4289833958787).

Almost surely, 2102122363063070 is an apocalyptic number.

102122363063070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102122363063070 is an abundant number, since it is smaller than the sum of its proper divisors (206745681969594).

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

102122363063070 is a wasteful number, since it uses less digits than its factorization.

102122363063070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23156998454 (or 23156998444 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 102122363063070 in words is "one hundred two trillion, one hundred twenty-two billion, three hundred sixty-three million, sixty-three thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 23156998427 46313996854 69470995281 115784992135 138941990562 162098988989 208412985843 231569984270 324197977978 347354976405 416825971686 486296966967 694709952810 810494944945 972593933934 1042064929215 1134692922923 1458890900901 1620989889890 2084129858430 2269385845846 2431484834835 2917781801802 3404078768769 4862969669670 5673464614615 6808157537538 7294454504505 10212236306307 11346929229230 14588909009010 17020393843845 20424472612614 34040787687690 51061181531535 102122363063070