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13110122953 is a prime number
BaseRepresentation
bin11000011010110110…
…01001100111001001
31020211200000020202101
430031123021213021
5203322142413303
610004523233401
7642611130544
oct141533114711
936750006671
1013110122953
115618360464
12265a678861
13130c14b005
148c523385b
1551ae55d1d
hex30d6c99c9

13110122953 has 2 divisors, whose sum is σ = 13110122954. Its totient is φ = 13110122952.

The previous prime is 13110122929. The next prime is 13110122957. The reversal of 13110122953 is 35922101131.

13110122953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12880661049 + 229461904 = 113493^2 + 15148^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13110122953 is a prime.

It is not a weakly prime, because it can be changed into another prime (13110122957) 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, 6555061476 + 6555061477.

It is an arithmetic number, because the mean of its divisors is an integer number (6555061477).

Almost surely, 213110122953 is an apocalyptic number.

It is an amenable number.

13110122953 is a deficient number, since it is larger than the sum of its proper divisors (1).

13110122953 is an equidigital number, since it uses as much as digits as its factorization.

13110122953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 28.

The spelling of 13110122953 in words is "thirteen billion, one hundred ten million, one hundred twenty-two thousand, nine hundred fifty-three".