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22131100113122 = 27111331356596631
BaseRepresentation
bin1010000100000110011000…
…10111000101100011100010
32220100201020102022010202002
411002003030113011203202
510400043443112104442
6115022515333324002
74442630202061130
oct502031427054342
986321212263662
1022131100113122
11706282406a250
1225951a4796602
13c46c5260cc30
14567218344750
15285a32581732
hex1420cc5c58e2

22131100113122 has 64 divisors (see below), whose sum is σ = 46009523847168. Its totient is φ = 7702487208000.

The previous prime is 22131100113049. The next prime is 22131100113151.

22131100113122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22131100113094 and 22131100113103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178236254 + ... + 178360377.

It is an arithmetic number, because the mean of its divisors is an integer number (718898810112).

Almost surely, 222131100113122 is an apocalyptic number.

22131100113122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22131100113122 is an abundant number, since it is smaller than the sum of its proper divisors (23878423734046).

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

22131100113122 is a wasteful number, since it uses less digits than its factorization.

22131100113122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356596695.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 22131100 and 113122, that added together give a palindrome (22244222).

The spelling of 22131100113122 in words is "twenty-two trillion, one hundred thirty-one billion, one hundred million, one hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 31 62 77 91 143 154 182 217 286 341 403 434 682 806 1001 2002 2387 2821 4433 4774 5642 8866 31031 62062 356596631 713193262 2496176417 3922562941 4635756203 4992352834 7845125882 9271512406 11054495561 22108991122 27457940587 32450293421 50993318233 54915881174 64900586842 77381468927 101986636466 121599451171 143708442293 154762937854 243198902342 287416884586 356953227631 713906455262 851196158197 1005959096051 1580792865223 1702392316394 2011918192102 3161585730446 11065550056561 22131100113122