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102112202002209 = 37217411516600101
BaseRepresentation
bin10111001101111011011001…
…100001110000111100100001
3111101112211102221000122210020
4113031323121201300330201
5101341001242203032314
61001101410434024053
730336235362006300
oct2715733141607441
9441484387018706
10102112202002209
112a5995a5a74a03
12b552041a18029
1344c91a7159ca9
141b303850c4437
15bc128cd59da9
hex5cded9870f21

102112202002209 has 96 divisors (see below), whose sum is σ = 172922249993472. Its totient is φ = 53223206400000.

The previous prime is 102112202002169. The next prime is 102112202002219. The reversal of 102112202002209 is 902200202211201.

It is not a de Polignac number, because 102112202002209 - 29 = 102112202001697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102112202002219) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12171259 + ... + 18771359.

It is an arithmetic number, because the mean of its divisors is an integer number (1801273437432).

Almost surely, 2102112202002209 is an apocalyptic number.

It is an amenable number.

102112202002209 is a deficient number, since it is larger than the sum of its proper divisors (70810047991263).

102112202002209 is a wasteful number, since it uses less digits than its factorization.

102112202002209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600327 (or 6600320 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 102112202002209 in words is "one hundred two trillion, one hundred twelve billion, two hundred two million, two thousand, two hundred nine".

Divisors: 1 3 7 17 21 41 49 51 119 123 147 151 287 357 453 697 833 861 1057 2009 2091 2499 2567 3171 4879 6027 6191 7399 7701 14637 17969 18573 22197 34153 43337 53907 102459 105247 125783 130011 303359 315741 377349 736729 910077 2210187 5157103 6600101 15471309 19800303 46200707 112201717 138602121 270604141 323404949 336605151 785412019 811812423 970214847 996615251 1894228987 2356236057 2989845753 4600270397 5497884133 5682686961 6976306757 13259602909 13800811191 16493652399 16942459267 20928920271 32201892779 39778808727 40861225291 48834147299 50827377801 96605678337 118597214869 122583675873 146502441897 225413249453 286028577037 355791644607 676239748359 694640829947 830180504083 858085731111 2002200039259 2083922489841 2490541512249 4862485809629 6006600117777 14587457428887 34037400667403 102112202002209