Base | Representation |
---|---|
bin | 1010000100000110011000… |
… | …10111000101100011100010 |
3 | 2220100201020102022010202002 |
4 | 11002003030113011203202 |
5 | 10400043443112104442 |
6 | 115022515333324002 |
7 | 4442630202061130 |
oct | 502031427054342 |
9 | 86321212263662 |
10 | 22131100113122 |
11 | 706282406a250 |
12 | 25951a4796602 |
13 | c46c5260cc30 |
14 | 567218344750 |
15 | 285a32581732 |
hex | 1420cc5c58e2 |
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".
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