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221233222332122 = 271121310046009551
BaseRepresentation
bin110010010011010111011111…
…101000010010111011011010
31002000022200121122111000020212
4302103113133220102323122
5212444141114404111442
62102305050030051122
764412400326242550
oct6223273750227332
91060280548430225
10221233222332122
1164545534517300
1220990592649aa2
13965a2849accb0
143c8ba60773bd0
151a89bb5599a82
hexc935dfa12eda

221233222332122 has 48 divisors (see below), whose sum is σ = 448936074859776. Its totient is φ = 79564395636000.

The previous prime is 221233222332097. The next prime is 221233222332151.

221233222332122 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5022982754 + ... + 5023026797.

It is an arithmetic number, because the mean of its divisors is an integer number (9352834892912).

Almost surely, 2221233222332122 is an apocalyptic number.

221233222332122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221233222332122 is an abundant number, since it is smaller than the sum of its proper divisors (227702852527654).

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

221233222332122 is a wasteful number, since it uses less digits than its factorization.

221233222332122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10046009595 (or 10046009584 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

The spelling of 221233222332122 in words is "two hundred twenty-one trillion, two hundred thirty-three billion, two hundred twenty-two million, three hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 3146 11011 22022 10046009551 20092019102 70322066857 110506105061 130598124163 140644133714 221012210122 261196248326 773542735427 914186869141 1215567155671 1436579365793 1547085470854 1828373738282 2431134311342 2873158731586 8508970089697 10056055560551 15802373023723 17017940179394 20112111121102 31604746047446 110616611166061 221233222332122