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221102111102202 = 232111701796561781
BaseRepresentation
bin110010010001011101011000…
…110010101001010011111010
31001222212011012021120102202100
4302101131120302221103322
5212440014110420232302
62102124524013244230
764400046300211041
oct6221353062512372
91058764167512670
10221102111102202
11644a4973662740
122096b0a1793676
13964aabb825185
143c85583885558
151a8658edd2d1c
hexc91758ca94fa

221102111102202 has 48 divisors (see below), whose sum is σ = 522608140435680. Its totient is φ = 67000235810400.

The previous prime is 221102111102141. The next prime is 221102111102203. The reversal of 221102111102202 is 202201111201122.

221102111102202 is a `hidden beast` number, since 221 + 1 + 0 + 211 + 1 + 10 + 220 + 2 = 666.

221102111102202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2211021111022022 (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 (221102111102203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30414552 + ... + 36976332.

It is an arithmetic number, because the mean of its divisors is an integer number (10887669592410).

Almost surely, 2221102111102202 is an apocalyptic number.

221102111102202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221102111102202 is an abundant number, since it is smaller than the sum of its proper divisors (301506029333478).

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

221102111102202 is a wasteful number, since it uses less digits than its factorization.

221102111102202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6731979 (or 6731976 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221102111102202 its reverse (202201111201122), we get a palindrome (423303222303324).

The spelling of 221102111102202 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred eleven million, one hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 170179 340358 510537 1021074 1531611 1871969 3063222 3743938 5615907 6561781 11231814 13123562 16847721 19685343 33695442 39370686 59056029 72179591 118112058 144359182 216538773 433077546 649616319 1299232638 1116677328799 2233354657598 3350031986397 6700063972794 10050095959191 12283450616789 20100191918382 24566901233578 36850351850367 73700703700734 110551055551101 221102111102202