Search a number
-
+
13500233269 is a prime number
BaseRepresentation
bin11001001001010110…
…10011011000110101
31021211212001220111121
430210223103120311
5210122024431034
610111340503541
7655356042445
oct144453233065
937755056447
1013500233269
1157a8591086
12274924abb1
131371c09013
14920d82125
155403141b4
hex324ad3635

13500233269 has 2 divisors, whose sum is σ = 13500233270. Its totient is φ = 13500233268.

The previous prime is 13500233233. The next prime is 13500233287. The reversal of 13500233269 is 96233200531.

13500233269 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., 11183062500 + 2317170769 = 105750^2 + 48137^2 .

It is a cyclic number.

It is not a de Polignac number, because 13500233269 - 213 = 13500225077 is a prime.

It is a super-2 number, since 2×135002332692 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13500233209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6750116634 + 6750116635.

It is an arithmetic number, because the mean of its divisors is an integer number (6750116635).

Almost surely, 213500233269 is an apocalyptic number.

It is an amenable number.

13500233269 is a deficient number, since it is larger than the sum of its proper divisors (1).

13500233269 is an equidigital number, since it uses as much as digits as its factorization.

13500233269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 34.

The spelling of 13500233269 in words is "thirteen billion, five hundred million, two hundred thirty-three thousand, two hundred sixty-nine".