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211222220012001 = 32113757663723727
BaseRepresentation
bin110000000001101100000001…
…011001000111100111100001
31000200212122110200102222120200
4300001230001121013213201
5210141131101310341001
62025122052011055413
762330205342450222
oct6001540131074741
91020778420388520
10211222220012001
1161335927710340
121b834346141569
1390b22292c70a3
143a232d232d249
1519645947aa086
hexc01b016479e1

211222220012001 has 24 divisors (see below), whose sum is σ = 341830554259584. Its totient is φ = 124553643248160.

The previous prime is 211222220011991. The next prime is 211222220012033. The reversal of 211222220012001 is 100210022222112.

It is a happy number.

211222220012001 is a `hidden beast` number, since 21 + 1 + 222 + 220 + 0 + 1 + 200 + 1 = 666.

It is not a de Polignac number, because 211222220012001 - 215 = 211222219979233 is a prime.

It is a super-2 number, since 2×2112222200120012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211222220012071) 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 23 ways as a sum of consecutive naturals, for example, 28831858201 + ... + 28831865526.

It is an arithmetic number, because the mean of its divisors is an integer number (14242939760816).

Almost surely, 2211222220012001 is an apocalyptic number.

It is an amenable number.

211222220012001 is a deficient number, since it is larger than the sum of its proper divisors (130608334247583).

211222220012001 is a wasteful number, since it uses less digits than its factorization.

211222220012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57663723781 (or 57663723778 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211222220012001 its reverse (100210022222112), we get a palindrome (311432242234113).

The spelling of 211222220012001 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty million, twelve thousand, one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 57663723727 172991171181 518973513543 634300960997 1902902882991 2133557777899 5708708648973 6400673333697 19202020001091 23469135556889 70407406670667 211222220012001