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22112100211221 = 3219376135701271
BaseRepresentation
bin1010000011100010111111…
…11000001101101000010101
32220021220012021122010011200
411001301133320031220111
510344241040123224341
6115010054131423113
74441355312424126
oct501613770155025
986256167563150
1022112100211221
117055764120789
122591581754a99
13c452151a8027
14566334bd404d
152852be515db6
hex141c5fe0da15

22112100211221 has 48 divisors (see below), whose sum is σ = 34585740359040. Its totient is φ = 13565921109120.

The previous prime is 22112100211213. The next prime is 22112100211247. The reversal of 22112100211221 is 12211200121122.

22112100211221 is a `hidden beast` number, since 2 + 21 + 1 + 210 + 0 + 211 + 221 = 666.

It is not a de Polignac number, because 22112100211221 - 23 = 22112100211213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22112100211194 and 22112100211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112100215221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1027816 + ... + 6729086.

It is an arithmetic number, because the mean of its divisors is an integer number (720536257480).

Almost surely, 222112100211221 is an apocalyptic number.

It is an amenable number.

22112100211221 is a deficient number, since it is larger than the sum of its proper divisors (12473640147819).

22112100211221 is a wasteful number, since it uses less digits than its factorization.

22112100211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5701946 (or 5701943 counting only the distinct ones).

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

Adding to 22112100211221 its reverse (12211200121122), we get a palindrome (34323300332343).

Subtracting from 22112100211221 its reverse (12211200121122), we obtain a palindrome (9900900090099).

The spelling of 22112100211221 in words is "twenty-two trillion, one hundred twelve billion, one hundred million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 19 37 57 111 171 333 613 703 1839 2109 5517 6327 11647 22681 34941 68043 104823 204129 430939 1292817 3878451 5701271 17103813 51311439 108324149 210947027 324972447 632841081 974917341 1898523243 3494879123 4007993513 10484637369 12023980539 31453912107 36071941617 66402703337 129310527551 199208110011 387931582653 597624330033 1163794747959 2456900023469 7370700070407 22112100211221