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11113123117 is a prime number
BaseRepresentation
bin10100101100110010…
…01100110100101101
31001200111022010222111
422112121030310231
5140224424414432
65034424444021
7542251662565
oct122631146455
931614263874
1011113123117
114793082978
1221a1919611
1310814b43c5
14775d19da5
15450987347
hex29664cd2d

11113123117 has 2 divisors, whose sum is σ = 11113123118. Its totient is φ = 11113123116.

The previous prime is 11113123093. The next prime is 11113123127. The reversal of 11113123117 is 71132131111.

11113123117 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., 9821008201 + 1292114916 = 99101^2 + 35946^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11113123117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11113123127) 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, 5556561558 + 5556561559.

It is an arithmetic number, because the mean of its divisors is an integer number (5556561559).

Almost surely, 211113123117 is an apocalyptic number.

It is an amenable number.

11113123117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11113123117 is an equidigital number, since it uses as much as digits as its factorization.

11113123117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 22.

Adding to 11113123117 its reverse (71132131111), we get a palindrome (82245254228).

The spelling of 11113123117 in words is "eleven billion, one hundred thirteen million, one hundred twenty-three thousand, one hundred seventeen".