Search a number
-
+
113381183309 is a prime number
BaseRepresentation
bin110100110011000001…
…0111000111101001101
3101211122201200212220112
41221212002320331031
53324201040331214
6124030412125405
711122456104512
oct1514602707515
9354581625815
10113381183309
11440a27a4189
1219b83166865
13a8cbb650a4
1456b8293309
152e38d84a3e
hex1a660b8f4d

113381183309 has 2 divisors, whose sum is σ = 113381183310. Its totient is φ = 113381183308.

The previous prime is 113381183297. The next prime is 113381183317. The reversal of 113381183309 is 903381183311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85518229225 + 27862954084 = 292435^2 + 166922^2 .

It is a cyclic number.

It is not a de Polignac number, because 113381183309 - 220 = 113380134733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113381183329) 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, 56690591654 + 56690591655.

It is an arithmetic number, because the mean of its divisors is an integer number (56690591655).

Almost surely, 2113381183309 is an apocalyptic number.

It is an amenable number.

113381183309 is a deficient number, since it is larger than the sum of its proper divisors (1).

113381183309 is an equidigital number, since it uses as much as digits as its factorization.

113381183309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 41.

The spelling of 113381183309 in words is "one hundred thirteen billion, three hundred eighty-one million, one hundred eighty-three thousand, three hundred nine".