Search a number
-
+
13312319 is a prime number
BaseRepresentation
bin110010110010…
…000100111111
3221001100001212
4302302010333
511401443234
61153155035
7221103266
oct62620477
927040055
1013312319
117572819
12455ba7b
1329b1417
141aa75dd
15127e5ce
hexcb213f

13312319 has 2 divisors, whose sum is σ = 13312320. Its totient is φ = 13312318.

The previous prime is 13312307. The next prime is 13312349. The reversal of 13312319 is 91321331.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13312319 - 24 = 13312303 is a prime.

It is a super-2 number, since 2×133123192 = 354435674315522, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13312294 and 13312303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13312349) 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, 6656159 + 6656160.

It is an arithmetic number, because the mean of its divisors is an integer number (6656160).

Almost surely, 213312319 is an apocalyptic number.

13312319 is a deficient number, since it is larger than the sum of its proper divisors (1).

13312319 is an equidigital number, since it uses as much as digits as its factorization.

13312319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 23.

The square root of 13312319 is about 3648.6050759160. The cubic root of 13312319 is about 237.0015785589.

It can be divided in two parts, 13312 and 319, that added together give a palindrome (13631).

The spelling of 13312319 in words is "thirteen million, three hundred twelve thousand, three hundred nineteen".