Search a number
-
+
113288093 is a prime number
BaseRepresentation
bin1101100000010…
…10001110011101
321220011122001022
412300022032131
5213000204333
615124053525
72543634662
oct660121635
9256148038
10113288093
1158a48026
1231b342a5
131a616b99
141108da69
159e2bc98
hex6c0a39d

113288093 has 2 divisors, whose sum is σ = 113288094. Its totient is φ = 113288092.

The previous prime is 113288059. The next prime is 113288141. The reversal of 113288093 is 390882311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106543684 + 6744409 = 10322^2 + 2597^2 .

It is an emirp because it is prime and its reverse (390882311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113288093 - 26 = 113288029 is a prime.

It is equal to p6480647 and since 113288093 and 6480647 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113288003) 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, 56644046 + 56644047.

It is an arithmetic number, because the mean of its divisors is an integer number (56644047).

Almost surely, 2113288093 is an apocalyptic number.

It is an amenable number.

113288093 is a deficient number, since it is larger than the sum of its proper divisors (1).

113288093 is an equidigital number, since it uses as much as digits as its factorization.

113288093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 113288093 is about 10643.6879416864. The cubic root of 113288093 is about 483.8693227453.

The spelling of 113288093 in words is "one hundred thirteen million, two hundred eighty-eight thousand, ninety-three".