Search a number
-
+
113005637 is a prime number
BaseRepresentation
bin1101011110001…
…01010001000101
321212122021120222
412233011101011
5212412140022
615114034125
72541350333
oct657052105
9255567528
10113005637
1158874898
1231a18945
131a548454
1411018b53
159dc3242
hex6bc5445

113005637 has 2 divisors, whose sum is σ = 113005638. Its totient is φ = 113005636.

The previous prime is 113005609. The next prime is 113005649. The reversal of 113005637 is 736500311.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108139201 + 4866436 = 10399^2 + 2206^2 .

It is an emirp because it is prime and its reverse (736500311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113005637 - 210 = 113004613 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113005657) 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, 56502818 + 56502819.

It is an arithmetic number, because the mean of its divisors is an integer number (56502819).

Almost surely, 2113005637 is an apocalyptic number.

It is an amenable number.

113005637 is a deficient number, since it is larger than the sum of its proper divisors (1).

113005637 is an equidigital number, since it uses as much as digits as its factorization.

113005637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 113005637 is about 10630.4109516048. The cubic root of 113005637 is about 483.4668516847.

Adding to 113005637 its reverse (736500311), we get a palindrome (849505948).

The spelling of 113005637 in words is "one hundred thirteen million, five thousand, six hundred thirty-seven".