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221431102131041 = 113166364464411
BaseRepresentation
bin110010010110001111110010…
…001011110100101101100001
31002001000121101020020022122022
4302112033302023310231201
5213010411344121143131
62102540013300551225
764432604063625365
oct6226176213645541
91061017336208568
10221431102131041
1164611448502000
1220a029b80b2515
139672b2b98a4ca
143c9747302b2a5
151a8ede781637b
hexc963f22f4b61

221431102131041 has 8 divisors (see below), whose sum is σ = 243557575899168. Its totient is φ = 201301001936100.

The previous prime is 221431102131037. The next prime is 221431102131061. The reversal of 221431102131041 is 140131201134122.

It is a happy number.

It is not a de Polignac number, because 221431102131041 - 22 = 221431102131037 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221431102131041.

It is not an unprimeable number, because it can be changed into a prime (221431102131061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83182230875 + ... + 83182233536.

It is an arithmetic number, because the mean of its divisors is an integer number (30444696987396).

Almost surely, 2221431102131041 is an apocalyptic number.

It is an amenable number.

221431102131041 is a deficient number, since it is larger than the sum of its proper divisors (22126473768127).

221431102131041 is an equidigital number, since it uses as much as digits as its factorization.

221431102131041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166364464444 (or 166364464422 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 221431102131041 its reverse (140131201134122), we get a palindrome (361562303265163).

The spelling of 221431102131041 in words is "two hundred twenty-one trillion, four hundred thirty-one billion, one hundred two million, one hundred thirty-one thousand, forty-one".

Divisors: 1 11 121 1331 166364464411 1830009108521 20130100193731 221431102131041