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102202012210122 = 23411220672599013
BaseRepresentation
bin10111001111001111000010…
…101000100001001111001010
3111101212102020221202221010000
4113033033002220201033022
5101343434210111210442
61001210542314303430
730345565065122166
oct2717170250411712
9441772227687100
10102202012210122
112a6236a2545430
12b567527127b76
1345047ba85a356
141b34864ad9ca6
15bc37976e6d4c
hex5cf3c2a213ca

102202012210122 has 80 divisors (see below), whose sum is σ = 249838558386912. Its totient is φ = 30968891347680.

The previous prime is 102202012210099. The next prime is 102202012210171. The reversal of 102202012210122 is 221012210202201.

It is a happy number.

102202012210122 is a `hidden beast` number, since 1 + 0 + 220 + 201 + 221 + 0 + 1 + 22 = 666.

102202012210122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 102202012210095 and 102202012210104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38023888 + ... + 40622900.

Almost surely, 2102202012210122 is an apocalyptic number.

102202012210122 is an abundant number, since it is smaller than the sum of its proper divisors (147636546176790).

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

102202012210122 is a wasteful number, since it uses less digits than its factorization.

102202012210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621105 (or 2621096 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102202012210122 its reverse (221012210202201), we get a palindrome (323214222412323).

The spelling of 102202012210122 in words is "one hundred two trillion, two hundred two billion, twelve million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 22067 44134 66201 132402 198603 242737 397206 485474 595809 728211 1191618 1456422 1787427 2184633 2599013 3574854 4369266 5198026 6553899 7797039 13107798 15594078 19661697 23391117 28589143 39323394 46782234 57178286 70173351 85767429 140346702 171534858 210520053 257302287 421040106 514604574 771906861 1543813722 2315720583 4631441166 57352419871 114704839742 172057259613 344114519226 516171778839 630876618581 1032343557678 1261753237162 1548515336517 1892629855743 3097030673034 3785259711486 4645546009551 5677889567229 9291092019102 11355779134458 17033668701687 34067337403374 51101006105061 102202012210122