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23122230013 is a prime number
BaseRepresentation
bin10101100010001100…
…010011101011111101
32012200102112222122101
4111202030103223331
5334323242330023
614342221345101
71445663466211
oct254214235375
965612488571
1023122230013
119895994703
124593708191
1322464b710c
141194c28941
15904e061ad
hex562313afd

23122230013 has 2 divisors, whose sum is σ = 23122230014. Its totient is φ = 23122230012.

The previous prime is 23122229969. The next prime is 23122230017. The reversal of 23122230013 is 31003222132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17202158649 + 5920071364 = 131157^2 + 76942^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23122230013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23122230017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11561115006 + 11561115007.

It is an arithmetic number, because the mean of its divisors is an integer number (11561115007).

Almost surely, 223122230013 is an apocalyptic number.

It is an amenable number.

23122230013 is a deficient number, since it is larger than the sum of its proper divisors (1).

23122230013 is an equidigital number, since it uses as much as digits as its factorization.

23122230013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 23122230013 its reverse (31003222132), we get a palindrome (54125452145).

The spelling of 23122230013 in words is "twenty-three billion, one hundred twenty-two million, two hundred thirty thousand, thirteen".