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11265456211 is a prime number
BaseRepresentation
bin10100111110111100…
…10011100001010011
31002002002221110200221
422133132103201103
5141032424044321
65101505453511
7546111540442
oct123736234123
932062843627
1011265456211
114861068a99
122224941297
1310a6c1c229
1478c250d59
1545e027e41
hex29f793853

11265456211 has 2 divisors, whose sum is σ = 11265456212. Its totient is φ = 11265456210.

The previous prime is 11265456199. The next prime is 11265456217.

11265456211 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 11265456211 - 211 = 11265454163 is a prime.

It is not a weakly prime, because it can be changed into another prime (11265456217) 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, 5632728105 + 5632728106.

It is an arithmetic number, because the mean of its divisors is an integer number (5632728106).

Almost surely, 211265456211 is an apocalyptic number.

11265456211 is a deficient number, since it is larger than the sum of its proper divisors (1).

11265456211 is an equidigital number, since it uses as much as digits as its factorization.

11265456211 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14400, while the sum is 34.

The spelling of 11265456211 in words is "eleven billion, two hundred sixty-five million, four hundred fifty-six thousand, two hundred eleven".