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113110093 is a prime number
BaseRepresentation
bin1101011110111…
…10110001001101
321212211120212201
412233132301031
5212424010333
615120201501
72542264015
oct657366115
9255746781
10113110093
1158936318
1231a69291
131a583b65
1411044c45
159de417d
hex6bdec4d

113110093 has 2 divisors, whose sum is σ = 113110094. Its totient is φ = 113110092.

The previous prime is 113110091. The next prime is 113110157. The reversal of 113110093 is 390011311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104919049 + 8191044 = 10243^2 + 2862^2 .

It is a cyclic number.

It is not a de Polignac number, because 113110093 - 21 = 113110091 is a prime.

Together with 113110091, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 113110093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113110091) 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, 56555046 + 56555047.

It is an arithmetic number, because the mean of its divisors is an integer number (56555047).

Almost surely, 2113110093 is an apocalyptic number.

It is an amenable number.

113110093 is a deficient number, since it is larger than the sum of its proper divisors (1).

113110093 is an equidigital number, since it uses as much as digits as its factorization.

113110093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 113110093 is about 10635.3228911961. The cubic root of 113110093 is about 483.6157689207.

The spelling of 113110093 in words is "one hundred thirteen million, one hundred ten thousand, ninety-three".