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221121200021121 = 32178932533422137
BaseRepresentation
bin110010010001101111001010…
…100101000101111010000001
31001222220222110121201222201100
4302101233022211011322001
5212440322204201133441
62102141402115125013
764401323320304631
oct6221571245057201
91058828417658640
10221121200021121
1164501a79880a94
122097292a5a3769
13964c84152677a
143c86474b686c1
151a86d0ab83cb6
hexc91bca945e81

221121200021121 has 24 divisors (see below), whose sum is σ = 319586403092840. Its totient is φ = 147326855360256.

The previous prime is 221121200021087. The next prime is 221121200021123. The reversal of 221121200021121 is 121120002121122.

221121200021121 is a `hidden beast` number, since 2 + 211 + 21 + 200 + 0 + 211 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84551335232400 + 136569864788721 = 9195180^2 + 11686311^2 .

It is not a de Polignac number, because 221121200021121 - 219 = 221121199496833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221121200021094 and 221121200021103.

It is not an unprimeable number, because it can be changed into a prime (221121200021123) 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, 523602765 + ... + 524024901.

Almost surely, 2221121200021121 is an apocalyptic number.

It is an amenable number.

221121200021121 is a deficient number, since it is larger than the sum of its proper divisors (98465203071719).

221121200021121 is a wasteful number, since it uses less digits than its factorization.

221121200021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456465 (or 456462 counting only the distinct ones).

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

Adding to 221121200021121 its reverse (121120002121122), we get a palindrome (342241202142243).

The spelling of 221121200021121 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two hundred million, twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 1789 5367 16101 32533 97599 292797 422137 1266411 3799233 58201537 174604611 523813833 755203093 2265609279 6796827837 13733383021 41200149063 123600447189 24569022224569 73707066673707 221121200021121