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221220200111121 = 321714454110003277
BaseRepresentation
bin110010010011001011010111…
…011100011101110000010001
31002000021110000002212122022100
4302103023113130131300101
5212443432432212023441
62102255053522431013
764411426533215631
oct6223132734356021
91060243002778270
10221220200111121
116453aa61844992
1220989b59502469
139658c8ab2ac93
143c8b1870a26c1
151a896a2208cb6
hexc932d771dc11

221220200111121 has 24 divisors (see below), whose sum is σ = 338339151230184. Its totient is φ = 138803857251840.

The previous prime is 221220200111069. The next prime is 221220200111129. The reversal of 221220200111121 is 121111002022122.

221220200111121 is a `hidden beast` number, since 2 + 212 + 20 + 200 + 111 + 121 = 666.

221220200111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 138699236460096 + 82520963651025 = 11777064^2 + 9084105^2 .

It is not a de Polignac number, because 221220200111121 - 222 = 221220195916817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221220200111094 and 221220200111103.

It is not an unprimeable number, because it can be changed into a prime (221220200111129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17113135 + ... + 27116411.

It is an arithmetic number, because the mean of its divisors is an integer number (14097464634591).

Almost surely, 2221220200111121 is an apocalyptic number.

It is an amenable number.

221220200111121 is a deficient number, since it is larger than the sum of its proper divisors (117118951119063).

221220200111121 is a wasteful number, since it uses less digits than its factorization.

221220200111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10147841 (or 10147838 counting only the distinct ones).

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

Adding to 221220200111121 its reverse (121111002022122), we get a palindrome (342331202133243).

The spelling of 221220200111121 in words is "two hundred twenty-one trillion, two hundred twenty billion, two hundred million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 17 51 153 144541 433623 1300869 2457197 7371591 10003277 22114773 30009831 90029493 170055709 510167127 1530501381 1445883660857 4337650982571 13012952947713 24580022234569 73740066703707 221220200111121