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222121201011112 = 231367157203040287
BaseRepresentation
bin110010100000010010011111…
…010010001000100110101000
31002010110120122102000201012201
4302200102133102020212220
5213103213204424323422
62104225023202545544
764533504266416144
oct6240223722104650
91063416572021181
10222121201011112
1164858088312757
1220ab46b09682b4
1396c2c29a7aab0
143cbca1b38c224
151aa2d37543727
hexca049f4889a8

222121201011112 has 64 divisors (see below), whose sum is σ = 458107619397120. Its totient is φ = 100344133663488.

The previous prime is 222121201011097. The next prime is 222121201011133. The reversal of 222121201011112 is 211110102121222.

It is a happy number.

It is a super-2 number, since 2×2221212010111122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 222121201011112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100426168 + ... + 102614119.

It is an arithmetic number, because the mean of its divisors is an integer number (7157931553080).

Almost surely, 2222121201011112 is an apocalyptic number.

It is an amenable number.

222121201011112 is an abundant number, since it is smaller than the sum of its proper divisors (235986418386008).

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

222121201011112 is a wasteful number, since it uses less digits than its factorization.

222121201011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203040530 (or 203040526 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 222121201011112 its reverse (211110102121222), we get a palindrome (433231303132334).

The spelling of 222121201011112 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two hundred one million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 67 104 134 157 268 314 536 628 871 1256 1742 2041 3484 4082 6968 8164 10519 16328 21038 42076 84152 136747 273494 546988 1093976 203040287 406080574 812161148 1624322296 2639523731 5279047462 10558094924 13603699229 21116189848 27207398458 31877325059 54414796916 63754650118 108829593832 127509300236 176848089977 255018600472 353696179954 414405225767 707392359908 828810451534 1414784719816 1657620903068 2135780778953 3315241806136 4271561557906 8543123115812 17086246231624 27765150126389 55530300252778 111060600505556 222121201011112