Search a number
-
+
165592002133 is a prime number
BaseRepresentation
bin1001101000111000001…
…1010110111001010101
3120211102101120021211001
42122032003112321111
510203113023032013
6204023311143301
714651344536265
oct2321603267125
9524371507731
10165592002133
1164255406128
1228114514b31
13127cc95391c
14802c4797a5
154492881ddd
hex268e0d6e55

165592002133 has 2 divisors, whose sum is σ = 165592002134. Its totient is φ = 165592002132.

The previous prime is 165592002083. The next prime is 165592002157. The reversal of 165592002133 is 331200295561.

165592002133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85204442404 + 80387559729 = 291898^2 + 283527^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-165592002133 is a prime.

It is a super-2 number, since 2×1655920021332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165592002092 and 165592002101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165592003133) 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, 82796001066 + 82796001067.

It is an arithmetic number, because the mean of its divisors is an integer number (82796001067).

Almost surely, 2165592002133 is an apocalyptic number.

It is an amenable number.

165592002133 is a deficient number, since it is larger than the sum of its proper divisors (1).

165592002133 is an equidigital number, since it uses as much as digits as its factorization.

165592002133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48600, while the sum is 37.

Adding to 165592002133 its reverse (331200295561), we get a palindrome (496792297694).

The spelling of 165592002133 in words is "one hundred sixty-five billion, five hundred ninety-two million, two thousand, one hundred thirty-three".