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221020120120121 = 731979374272949
BaseRepresentation
bin110010010000010001000001…
…101111110111101100111001
31001222120022120012001222210022
4302100101001233313230321
5212432143201222320441
62102023124054100225
764361114421314000
oct6220210157675471
91058508505058708
10221020120120121
1164473119909323
122095721b04a675
13964315308286a
143c8160651bc37
151a84391c3384b
hexc90441bf7b39

221020120120121 has 32 divisors (see below), whose sum is σ = 271349416800000. Its totient is φ = 179452330315776.

The previous prime is 221020120120049. The next prime is 221020120120133. The reversal of 221020120120121 is 121021021020122.

221020120120121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-221020120120121 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 221020120120121.

It is not an unprimeable number, because it can be changed into a prime (221020120120141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49588955 + ... + 53861903.

It is an arithmetic number, because the mean of its divisors is an integer number (8479669275000).

Almost surely, 2221020120120121 is an apocalyptic number.

It is an amenable number.

221020120120121 is a deficient number, since it is larger than the sum of its proper divisors (50329296679879).

221020120120121 is an equidigital number, since it uses as much as digits as its factorization.

221020120120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280926 (or 4280912 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221020120120121 its reverse (121021021020122), we get a palindrome (342041141140243).

Subtracting from 221020120120121 its reverse (121021021020122), we obtain a palindrome (99999099099999).

The spelling of 221020120120121 in words is "two hundred twenty-one trillion, twenty billion, one hundred twenty million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 7 19 49 133 343 931 6517 7937 55559 150803 388913 1055621 2722391 4272949 7389347 29910643 51725429 81186031 209374501 568302217 1465621507 3978115519 27846808633 33914396213 237400773491 644373528047 1661805414437 4510614696329 11632637901059 31574302874303 221020120120121