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102202111220 = 225114144325577
BaseRepresentation
bin101111100101110111…
…0000111010011110100
3100202210122022011221112
41133023232013103310
53133302220024340
6114541225534152
710245443416556
oct1371356072364
9322718264845
10102202111220
113a386477930
1217983344358
139839b00031
144d376cb4d6
1529d2722065
hex17cbb874f4

102202111220 has 96 divisors (see below), whose sum is σ = 240397186176. Its totient is φ = 36174694400.

The previous prime is 102202111201. The next prime is 102202111229. The reversal of 102202111220 is 22111202201.

It is a junction number, because it is equal to n+sod(n) for n = 102202111195 and 102202111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202111229) 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, 3983072 + ... + 4008648.

It is an arithmetic number, because the mean of its divisors is an integer number (2504137356).

Almost surely, 2102202111220 is an apocalyptic number.

102202111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120198593088).

102202111220 is an abundant number, since it is smaller than the sum of its proper divisors (138195074956).

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

102202111220 is a wasteful number, since it uses less digits than its factorization.

102202111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26081 (or 26079 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102202111220 its reverse (22111202201), we get a palindrome (124313313421).

The spelling of 102202111220 in words is "one hundred two billion, two hundred two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 443 451 820 886 902 1772 1804 2215 2255 4430 4510 4873 8860 9020 9746 18163 19492 24365 25577 36326 48730 51154 72652 90815 97460 102308 127885 181630 199793 255770 281347 363260 399586 511540 562694 799172 998965 1048657 1125388 1406735 1997930 2097314 2813470 3995860 4194628 5243285 5626940 10486570 11330611 11535227 20973140 22661222 23070454 45322444 46140908 56653055 57676135 113306110 115352270 124636721 226612220 230704540 249273442 464555051 498546884 623183605 929110102 1246367210 1858220204 2322775255 2492734420 4645550510 5110105561 9291101020 10220211122 20440422244 25550527805 51101055610 102202111220