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22123044141013 is a prime number
BaseRepresentation
bin1010000011110111011000…
…01011111111011111010101
32220022221102222120100112201
411001323230023333133111
510344430443300003023
6115015104114044501
74442223441331024
oct501735413773725
986287388510481
1022123044141013
11705a36a742162
122593716879731
13c4626a60032a
14566a9246a8bb
152857101cbbad
hex141eec2ff7d5

22123044141013 has 2 divisors, whose sum is σ = 22123044141014. Its totient is φ = 22123044141012.

The previous prime is 22123044140999. The next prime is 22123044141097. The reversal of 22123044141013 is 31014144032122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21276244813924 + 846799327089 = 4612618^2 + 920217^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22123044141013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22123044141113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061522070506 + 11061522070507.

It is an arithmetic number, because the mean of its divisors is an integer number (11061522070507).

Almost surely, 222123044141013 is an apocalyptic number.

It is an amenable number.

22123044141013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22123044141013 is an equidigital number, since it uses as much as digits as its factorization.

22123044141013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 22123044141013 its reverse (31014144032122), we get a palindrome (53137188173135).

The spelling of 22123044141013 in words is "twenty-two trillion, one hundred twenty-three billion, forty-four million, one hundred forty-one thousand, thirteen".