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22123131201 = 322458125689
BaseRepresentation
bin10100100110101001…
…000011000101000001
32010002210120111201200
4110212221003011001
5330302010144301
614055131251413
71412142340533
oct244651030501
963083514650
1022123131201
119422a26a06
124354ba9b69
1321175041a2
1410dc273853
15897351c86
hex526a43141

22123131201 has 6 divisors (see below), whose sum is σ = 31955633970. Its totient is φ = 14748754128.

The previous prime is 22123131181. The next prime is 22123131209. The reversal of 22123131201 is 10213132122.

It can be written as a sum of positive squares in only one way, i.e., 11265699600 + 10857431601 = 106140^2 + 104199^2 .

It is not a de Polignac number, because 22123131201 - 234 = 4943262017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22123131209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1229062836 + ... + 1229062853.

It is an arithmetic number, because the mean of its divisors is an integer number (5325938995).

Almost surely, 222123131201 is an apocalyptic number.

It is an amenable number.

22123131201 is a deficient number, since it is larger than the sum of its proper divisors (9832502769).

22123131201 is a wasteful number, since it uses less digits than its factorization.

22123131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458125695 (or 2458125692 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22123131201 its reverse (10213132122), we get a palindrome (32336263323).

The spelling of 22123131201 in words is "twenty-two billion, one hundred twenty-three million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 3 9 2458125689 7374377067 22123131201