Search a number
-
+
13022257 is a prime number
BaseRepresentation
bin110001101011…
…010000110001
3220111121011211
4301223100301
511313203012
61143040121
7215454523
oct61532061
926447154
1013022257
1173948a6
124440041
13290c3a1
141a2da13
1512236a7
hexc6b431

13022257 has 2 divisors, whose sum is σ = 13022258. Its totient is φ = 13022256.

The previous prime is 13022231. The next prime is 13022267. The reversal of 13022257 is 75222031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8856576 + 4165681 = 2976^2 + 2041^2 .

It is an emirp because it is prime and its reverse (75222031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13022257 - 27 = 13022129 is a prime.

It is not a weakly prime, because it can be changed into another prime (13022267) 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, 6511128 + 6511129.

It is an arithmetic number, because the mean of its divisors is an integer number (6511129).

Almost surely, 213022257 is an apocalyptic number.

It is an amenable number.

13022257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022257 is an equidigital number, since it uses as much as digits as its factorization.

13022257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 13022257 is about 3608.6364460832. The cubic root of 13022257 is about 235.2675811262.

Adding to 13022257 its reverse (75222031), we get a palindrome (88244288).

The spelling of 13022257 in words is "thirteen million, twenty-two thousand, two hundred fifty-seven".