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113207113 is a prime number
BaseRepresentation
bin1101011111101…
…10011101001001
321220000111222001
412233312131021
5212440111423
615122231001
72543146615
oct657663511
9256014861
10113207113
11589a21a8
1231ab5461
131a5b9076
141106c345
159e12cad
hex6bf6749

113207113 has 2 divisors, whose sum is σ = 113207114. Its totient is φ = 113207112.

The previous prime is 113207093. The next prime is 113207123. The reversal of 113207113 is 311702311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104284944 + 8922169 = 10212^2 + 2987^2 .

It is an emirp because it is prime and its reverse (311702311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113207113 - 221 = 111109961 is a prime.

It is not a weakly prime, because it can be changed into another prime (113207123) 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, 56603556 + 56603557.

It is an arithmetic number, because the mean of its divisors is an integer number (56603557).

Almost surely, 2113207113 is an apocalyptic number.

It is an amenable number.

113207113 is a deficient number, since it is larger than the sum of its proper divisors (1).

113207113 is an equidigital number, since it uses as much as digits as its factorization.

113207113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 113207113 is about 10639.8831290574. The cubic root of 113207113 is about 483.7540029537.

Adding to 113207113 its reverse (311702311), we get a palindrome (424909424).

The spelling of 113207113 in words is "one hundred thirteen million, two hundred seven thousand, one hundred thirteen".