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102221202002202 = 2339475431368059
BaseRepresentation
bin10111001111100000111010…
…011011110001000100011010
3111101221020210022202101001000
4113033200322123301010122
5101344243010203032302
61001223434422205430
730350144451505653
oct2717407233610432
9441836708671030
10102221202002202
112a63084a6a1228
12b56b1a1883876
1345065584199ca
141b3576555a52a
15bc401c27131c
hex5cf83a6f111a

102221202002202 has 64 divisors (see below), whose sum is σ = 227440586419200. Its totient is φ = 34031393518320.

The previous prime is 102221202002147. The next prime is 102221202002207. The reversal of 102221202002202 is 202200202122201.

102221202002202 is a `hidden beast` number, since 1 + 0 + 2 + 221 + 20 + 200 + 220 + 2 = 666.

102221202002202 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1022212020022022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102221202002207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277546449 + ... + 277914507.

It is an arithmetic number, because the mean of its divisors is an integer number (3553759162800).

Almost surely, 2102221202002202 is an apocalyptic number.

102221202002202 is an abundant number, since it is smaller than the sum of its proper divisors (125219384416998).

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

102221202002202 is a wasteful number, since it uses less digits than its factorization.

102221202002202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374448 (or 374442 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102221202002202 its reverse (202200202122201), we get a palindrome (304421404124403).

The spelling of 102221202002202 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred two million, two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 947 1894 2841 5431 5682 8523 10862 16293 17046 25569 32586 48879 51138 97758 146637 293274 368059 736118 1104177 2208354 3312531 5143157 6625062 9937593 10286314 15429471 19875186 30858942 46288413 92576826 138865239 277730478 348551873 697103746 1045655619 1998928429 2091311238 3136966857 3997856858 5996785287 6273933714 9410900571 11993570574 17990355861 18821801142 35980711722 53971067583 107942135166 1892985222263 3785970444526 5678955666789 11357911333578 17036867000367 34073734000734 51110601001101 102221202002202