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11775557711 is a prime number
BaseRepresentation
bin10101111011110000…
…01100000001001111
31010101122210022102002
422331320030001033
5143104020321321
65224251022515
7564544406021
oct127570140117
933348708362
1011775557711
114aa2aa4885
12234773aa3b
131158800138
147d9cb6011
1548dbd920b
hex2bde0c04f

11775557711 has 2 divisors, whose sum is σ = 11775557712. Its totient is φ = 11775557710.

The previous prime is 11775557701. The next prime is 11775557713.

11775557711 is nontrivially palindromic in base 10.

11775557711 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 is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11775557711 is a prime.

Together with 11775557713, it forms a pair of twin primes.

It is a Chen prime.

It is a zygodrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11775557713) 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, 5887778855 + 5887778856.

It is an arithmetic number, because the mean of its divisors is an integer number (5887778856).

Almost surely, 211775557711 is an apocalyptic number.

11775557711 is a deficient number, since it is larger than the sum of its proper divisors (1).

11775557711 is an equidigital number, since it uses as much as digits as its factorization.

11775557711 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 300125, while the sum is 47.

The spelling of 11775557711 in words is "eleven billion, seven hundred seventy-five million, five hundred fifty-seven thousand, seven hundred eleven".