Search a number
-
+
13216406741 is a prime number
BaseRepresentation
bin11000100111100001…
…00101110011010101
31021010002000000200222
430103300211303111
5204031400003431
610023241244125
7645341414036
oct142360456325
937102000628
1013216406741
115672353aaa
12268a193645
131328181a25
148d53bca8d
1552544c57b
hex313c25cd5

13216406741 has 2 divisors, whose sum is σ = 13216406742. Its totient is φ = 13216406740.

The previous prime is 13216406719. The next prime is 13216406743. The reversal of 13216406741 is 14760461231.

13216406741 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., 8295384241 + 4921022500 = 91079^2 + 70150^2 .

It is a cyclic number.

It is not a de Polignac number, because 13216406741 - 26 = 13216406677 is a prime.

Together with 13216406743, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13216406743) 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, 6608203370 + 6608203371.

It is an arithmetic number, because the mean of its divisors is an integer number (6608203371).

Almost surely, 213216406741 is an apocalyptic number.

It is an amenable number.

13216406741 is a deficient number, since it is larger than the sum of its proper divisors (1).

13216406741 is an equidigital number, since it uses as much as digits as its factorization.

13216406741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 35.

Adding to 13216406741 its reverse (14760461231), we get a palindrome (27976867972).

The spelling of 13216406741 in words is "thirteen billion, two hundred sixteen million, four hundred six thousand, seven hundred forty-one".