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23205336761 is a prime number
BaseRepresentation
bin10101100111001001…
…010101011010111001
32012220012221020200002
4111213021111122321
5340011031234021
614354350522345
71451023052015
oct254711253271
965805836602
1023205336761
119928897a72
1245b75063b5
13225a7945c9
1411a1c9d545
1590c37050b
hex5672556b9

23205336761 has 2 divisors, whose sum is σ = 23205336762. Its totient is φ = 23205336760.

The previous prime is 23205336757. The next prime is 23205336767. The reversal of 23205336761 is 16763350232.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14228911225 + 8976425536 = 119285^2 + 94744^2 .

It is a cyclic number.

It is not a de Polignac number, because 23205336761 - 22 = 23205336757 is a prime.

It is a super-2 number, since 2×232053367612 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23205336767) 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, 11602668380 + 11602668381.

It is an arithmetic number, because the mean of its divisors is an integer number (11602668381).

Almost surely, 223205336761 is an apocalyptic number.

It is an amenable number.

23205336761 is a deficient number, since it is larger than the sum of its proper divisors (1).

23205336761 is an equidigital number, since it uses as much as digits as its factorization.

23205336761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 38.

Adding to 23205336761 its reverse (16763350232), we get a palindrome (39968686993).

The spelling of 23205336761 in words is "twenty-three billion, two hundred five million, three hundred thirty-six thousand, seven hundred sixty-one".