Search a number
-
+
13198313 is a prime number
BaseRepresentation
bin110010010110…
…001111101001
3220211112200102
4302112033221
511334321223
61150515145
7220120022
oct62261751
926745612
1013198313
1174a50a7
124505ab5
13297156b
141a77c49
15125a928
hexc963e9

13198313 has 2 divisors, whose sum is σ = 13198314. Its totient is φ = 13198312.

The previous prime is 13198301. The next prime is 13198321. The reversal of 13198313 is 31389131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13191424 + 6889 = 3632^2 + 83^2 .

It is a cyclic number.

It is not a de Polignac number, because 13198313 - 26 = 13198249 is a prime.

It is not a weakly prime, because it can be changed into another prime (13198363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6599156 + 6599157.

It is an arithmetic number, because the mean of its divisors is an integer number (6599157).

Almost surely, 213198313 is an apocalyptic number.

It is an amenable number.

13198313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13198313 is an equidigital number, since it uses as much as digits as its factorization.

13198313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 29.

The square root of 13198313 is about 3632.9482517647. The cubic root of 13198313 is about 236.3230816336.

The spelling of 13198313 in words is "thirteen million, one hundred ninety-eight thousand, three hundred thirteen".