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113000117 is a prime number
BaseRepresentation
bin1101011110000…
…11111010110101
321212122000000112
412233003322311
5212412000432
615113552405
72541325256
oct657037265
9255560015
10113000117
115887072a
1231a15705
131a545a99
1411016b2d
159dc17b2
hex6bc3eb5

113000117 has 2 divisors, whose sum is σ = 113000118. Its totient is φ = 113000116.

The previous prime is 113000093. The next prime is 113000171. The reversal of 113000117 is 711000311.

Together with next prime (113000171) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76143076 + 36857041 = 8726^2 + 6071^2 .

It is a cyclic number.

It is not a de Polignac number, because 113000117 - 210 = 112999093 is a prime.

It is a Chen prime.

113000117 is a modest number, since divided by 117 gives 113 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113005117) 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, 56500058 + 56500059.

It is an arithmetic number, because the mean of its divisors is an integer number (56500059).

Almost surely, 2113000117 is an apocalyptic number.

It is an amenable number.

113000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

113000117 is an equidigital number, since it uses as much as digits as its factorization.

113000117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 14.

The square root of 113000117 is about 10630.1513159503. The cubic root of 113000117 is about 483.4589795686.

Adding to 113000117 its reverse (711000311), we get a palindrome (824000428).

The spelling of 113000117 in words is "one hundred thirteen million, one hundred seventeen", and thus it is an aban number.