Search a number
-
+
113357597 is a prime number
BaseRepresentation
bin1101100000110…
…11001100011101
321220022011101112
412300123030131
5213004420342
615125351405
72544344423
oct660331435
9256264345
10113357597
1158a95271
1231b68565
131a63c702
14110ab113
159e42682
hex6c1b31d

113357597 has 2 divisors, whose sum is σ = 113357598. Its totient is φ = 113357596.

The previous prime is 113357567. The next prime is 113357623. The reversal of 113357597 is 795753311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80478841 + 32878756 = 8971^2 + 5734^2 .

It is an emirp because it is prime and its reverse (795753311) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113357597 is a prime.

It is a super-2 number, since 2×1133575972 = 25699889595228818, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113357527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56678798 + 56678799.

It is an arithmetic number, because the mean of its divisors is an integer number (56678799).

Almost surely, 2113357597 is an apocalyptic number.

It is an amenable number.

113357597 is a deficient number, since it is larger than the sum of its proper divisors (1).

113357597 is an equidigital number, since it uses as much as digits as its factorization.

113357597 is an evil number, because the sum of its binary digits is even.

The product of its digits is 99225, while the sum is 41.

The square root of 113357597 is about 10646.9524747695. The cubic root of 113357597 is about 483.9682562907.

The spelling of 113357597 in words is "one hundred thirteen million, three hundred fifty-seven thousand, five hundred ninety-seven".