Search a number
-
+
385513133 is a prime number
BaseRepresentation
bin10110111110100…
…111011010101101
3222212102002121012
4112332213122231
51242142410013
6102130515005
712360543665
oct2676473255
9885362535
10385513133
111886807a5
12a9135a65
1361b3b6a5
14392b31a5
1523ca11a8
hex16fa76ad

385513133 has 2 divisors, whose sum is σ = 385513134. Its totient is φ = 385513132.

The previous prime is 385513111. The next prime is 385513169. The reversal of 385513133 is 331315583.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 362597764 + 22915369 = 19042^2 + 4787^2 .

It is a cyclic number.

It is not a de Polignac number, because 385513133 - 28 = 385512877 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 385513133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (385513433) 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, 192756566 + 192756567.

It is an arithmetic number, because the mean of its divisors is an integer number (192756567).

Almost surely, 2385513133 is an apocalyptic number.

It is an amenable number.

385513133 is a deficient number, since it is larger than the sum of its proper divisors (1).

385513133 is an equidigital number, since it uses as much as digits as its factorization.

385513133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16200, while the sum is 32.

The square root of 385513133 is about 19634.4883559516. The cubic root of 385513133 is about 727.8016890555.

The spelling of 385513133 in words is "three hundred eighty-five million, five hundred thirteen thousand, one hundred thirty-three".