Search a number
-
+
13902313 is a prime number
BaseRepresentation
bin110101000010…
…000111101001
3222011022101111
4311002013221
512024333223
61213550321
7226111345
oct65020751
928138344
1013902313
117936017
1247a53a1
132b59b29
141bbc625
15134930d
hexd421e9

13902313 has 2 divisors, whose sum is σ = 13902314. Its totient is φ = 13902312.

The previous prime is 13902307. The next prime is 13902323. The reversal of 13902313 is 31320931.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12194064 + 1708249 = 3492^2 + 1307^2 .

It is an emirp because it is prime and its reverse (31320931) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13902313 is a prime.

It is equal to p904207 and since 13902313 and 904207 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (13902323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6951156 + 6951157.

It is an arithmetic number, because the mean of its divisors is an integer number (6951157).

Almost surely, 213902313 is an apocalyptic number.

It is an amenable number.

13902313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13902313 is an equidigital number, since it uses as much as digits as its factorization.

13902313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 13902313 is about 3728.5805610178. The cubic root of 13902313 is about 240.4523471212.

The spelling of 13902313 in words is "thirteen million, nine hundred two thousand, three hundred thirteen".