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102200122211022 = 232112172760225847
BaseRepresentation
bin10111001111001101010001…
…111110101111101011001110
3111101212020101020102000202100
4113033031101332233223032
5101343421322241223042
61001210031001135530
730345500205314553
oct2717152176575316
9441766336360670
10102200122211022
112a622912700100
12b56709a18a5a6
1345045791188a4
141b34725ab6a2a
15bc36d681224c
hex5cf351faface

102200122211022 has 72 divisors (see below), whose sum is σ = 257711246524368. Its totient is φ = 29147984933760.

The previous prime is 102200122210973. The next prime is 102200122211063. The reversal of 102200122211022 is 220112221002201.

It is a happy number.

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 = 102200122210986 and 102200122211004.

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, 1380075898 + ... + 1380149949.

It is an arithmetic number, because the mean of its divisors is an integer number (3579322868394).

Almost surely, 2102200122211022 is an apocalyptic number.

102200122211022 is an abundant number, since it is smaller than the sum of its proper divisors (155511124313346).

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

102200122211022 is a wasteful number, since it uses less digits than its factorization.

102200122211022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760225894 (or 2760225880 counting only the distinct ones).

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

Adding to 102200122211022 its reverse (220112221002201), we get a palindrome (322312343213223).

The spelling of 102200122211022 in words is "one hundred two trillion, two hundred billion, one hundred twenty-two million, two hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 242 306 363 374 561 726 1089 1122 1683 2057 2178 3366 4114 6171 12342 18513 37026 2760225847 5520451694 8280677541 16561355082 24842032623 30362484317 46923839399 49684065246 60724968634 91087452951 93847678798 140771518197 182174905902 273262358853 281543036394 333987327487 422314554591 516162233389 546524717706 667974654974 844629109182 1001961982461 1032324466778 1548486700167 2003923964922 3005885947383 3096973400334 4645460100501 5677784567279 6011771894766 9290920201002 11355569134558 17033353701837 34066707403674 51100061105511 102200122211022