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117000577 is a prime number
BaseRepresentation
bin1101111100101…
…00100110000001
322011011020121201
412332110212001
5214423004302
615335421201
72620326361
oct676244601
9264136551
10117000577
11600532a1
1233224801
131b316915
14117789a1
15a411c87
hex6f94981

117000577 has 2 divisors, whose sum is σ = 117000578. Its totient is φ = 117000576.

The previous prime is 117000509. The next prime is 117000581. The reversal of 117000577 is 775000711.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114147856 + 2852721 = 10684^2 + 1689^2 .

It is an emirp because it is prime and its reverse (775000711) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-117000577 is a prime.

It is not a weakly prime, because it can be changed into another prime (117000077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58500288 + 58500289.

It is an arithmetic number, because the mean of its divisors is an integer number (58500289).

Almost surely, 2117000577 is an apocalyptic number.

It is an amenable number.

117000577 is a deficient number, since it is larger than the sum of its proper divisors (1).

117000577 is an equidigital number, since it uses as much as digits as its factorization.

117000577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1715, while the sum is 28.

The square root of 117000577 is about 10816.6804981935. The cubic root of 117000577 is about 489.0981286642.

The spelling of 117000577 in words is "one hundred seventeen million, five hundred seventy-seven", and thus it is an aban number.