Search a number
-
+
113137597 is a prime number
BaseRepresentation
bin1101011111001…
…01011110111101
321212212222121101
412233211132331
5212430400342
615120533101
72542440136
oct657453675
9255788541
10113137597
1158954a51
1231a81191
131a593531
1411050c8d
159dec3b7
hex6be57bd

113137597 has 2 divisors, whose sum is σ = 113137598. Its totient is φ = 113137596.

The previous prime is 113137589. The next prime is 113137639. The reversal of 113137597 is 795731311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110061081 + 3076516 = 10491^2 + 1754^2 .

It is a cyclic number.

It is not a de Polignac number, because 113137597 - 23 = 113137589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113137097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56568798 + 56568799.

It is an arithmetic number, because the mean of its divisors is an integer number (56568799).

Almost surely, 2113137597 is an apocalyptic number.

It is an amenable number.

113137597 is a deficient number, since it is larger than the sum of its proper divisors (1).

113137597 is an equidigital number, since it uses as much as digits as its factorization.

113137597 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19845, while the sum is 37.

The square root of 113137597 is about 10636.6158621998. The cubic root of 113137597 is about 483.6549646275.

The spelling of 113137597 in words is "one hundred thirteen million, one hundred thirty-seven thousand, five hundred ninety-seven".