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23534581313 is a prime number
BaseRepresentation
bin10101111010110001…
…010011011001000001
32020202011110121021202
4111322301103121001
5341144323100223
614451151430545
71462131432455
oct257261233101
966664417252
1023534581313
119a87726301
124689825455
1322b0a61579
1411d38c6665
1592b209428
hex57ac53641

23534581313 has 2 divisors, whose sum is σ = 23534581314. Its totient is φ = 23534581312.

The previous prime is 23534581289. The next prime is 23534581321. The reversal of 23534581313 is 31318543532.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23521743424 + 12837889 = 153368^2 + 3583^2 .

It is a cyclic number.

It is not a de Polignac number, because 23534581313 - 212 = 23534577217 is a prime.

It is not a weakly prime, because it can be changed into another prime (23534581393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11767290656 + 11767290657.

It is an arithmetic number, because the mean of its divisors is an integer number (11767290657).

Almost surely, 223534581313 is an apocalyptic number.

It is an amenable number.

23534581313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23534581313 is an equidigital number, since it uses as much as digits as its factorization.

23534581313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 129600, while the sum is 38.

The spelling of 23534581313 in words is "twenty-three billion, five hundred thirty-four million, five hundred eighty-one thousand, three hundred thirteen".