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221022141220122 = 23112304438211047
BaseRepresentation
bin110010010000010010111010…
…001101110000010100011010
31001222120111210001010111202220
4302100102322031300110122
5212432211321123020442
62102024100413204510
764361215462345554
oct6220227215602432
91058514701114686
10221022141220122
1164473a66757700
12209576a3a90736
1396433b5a06c18
143c81758b0a4d4
151a8445e3b2eec
hexc904ba37051a

221022141220122 has 24 divisors (see below), whose sum is σ = 485883384832608. Its totient is φ = 66976406430120.

The previous prime is 221022141220093. The next prime is 221022141220151.

221022141220122 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (221022141220093) and next prime (221022141220151).

It is a junction number, because it is equal to n+sod(n) for n = 221022141220092 and 221022141220101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152219104798 + ... + 152219106249.

It is an arithmetic number, because the mean of its divisors is an integer number (20245141034692).

Almost surely, 2221022141220122 is an apocalyptic number.

221022141220122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221022141220122 is an abundant number, since it is smaller than the sum of its proper divisors (264861243612486).

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

221022141220122 is a wasteful number, since it uses less digits than its factorization.

221022141220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304438211074 (or 304438211063 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 221022141220122 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred forty-one million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 304438211047 608876422094 913314633141 1826629266282 3348820321517 6697640643034 10046460964551 20092921929102 36837023536687 73674047073374 110511070610061 221022141220122