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23201313313 is a prime number
BaseRepresentation
bin10101100110111001…
…111111001000100001
32012212221100211112111
4111212321333020201
5340004014011223
614354124355321
71450643623603
oct254671771041
965787324474
1023201313313
11992659a102
1245b60a5b41
1322599b6179
1411a1533173
1590bd2830d
hex566e7f221

23201313313 has 2 divisors, whose sum is σ = 23201313314. Its totient is φ = 23201313312.

The previous prime is 23201313301. The next prime is 23201313367. The reversal of 23201313313 is 31331310232.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19285432384 + 3915880929 = 138872^2 + 62577^2 .

It is a cyclic number.

It is not a de Polignac number, because 23201313313 - 25 = 23201313281 is a prime.

It is not a weakly prime, because it can be changed into another prime (23201613313) 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, 11600656656 + 11600656657.

It is an arithmetic number, because the mean of its divisors is an integer number (11600656657).

Almost surely, 223201313313 is an apocalyptic number.

It is an amenable number.

23201313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23201313313 is an equidigital number, since it uses as much as digits as its factorization.

23201313313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 23201313313 its reverse (31331310232), we get a palindrome (54532623545).

The spelling of 23201313313 in words is "twenty-three billion, two hundred one million, three hundred thirteen thousand, three hundred thirteen".