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22112120121 = 3713232153113
BaseRepresentation
bin10100100101111111…
…000010110100111001
32010002000212002100220
4110211333002310321
5330241200320441
614054055250253
71411646630340
oct244577026471
963060762326
1022112120121
119417796143
124351379989
13211514a360
1410daa08b57
158963c9466
hex525fc2d39

22112120121 has 48 divisors (see below), whose sum is σ = 37933074816. Its totient is φ = 11156352768.

The previous prime is 22112120119. The next prime is 22112120131. The reversal of 22112120121 is 12102121122.

It is not a de Polignac number, because 22112120121 - 21 = 22112120119 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22112120121.

It is not an unprimeable number, because it can be changed into a prime (22112120131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 67861 + ... + 220973.

It is an arithmetic number, because the mean of its divisors is an integer number (790272392).

Almost surely, 222112120121 is an apocalyptic number.

22112120121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22112120121 is a deficient number, since it is larger than the sum of its proper divisors (15820954695).

22112120121 is a wasteful number, since it uses less digits than its factorization.

22112120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153182 (or 153159 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22112120121 its reverse (12102121122), we get a palindrome (34214241243).

The spelling of 22112120121 in words is "twenty-two billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 7 13 21 23 39 69 91 161 273 299 483 529 897 1587 2093 3703 6279 6877 11109 20631 48139 144417 153113 459339 1071791 1990469 3215373 3521599 5971407 10564797 13933283 24651193 41799849 45780787 73953579 80996777 137342361 242990331 320465509 566977439 961396527 1052958101 1700932317 3158874303 7370706707 22112120121