Search a number
-
+
122616313 is a prime number
BaseRepresentation
bin1110100111011…
…11100111111001
322112201112221221
413103233213321
5222342210223
620100032041
73016135651
oct723574771
9275645857
10122616313
11632394a6
1235092621
131c531a41
14123db361
15ab70b5d
hex74ef9f9

122616313 has 2 divisors, whose sum is σ = 122616314. Its totient is φ = 122616312.

The previous prime is 122616287. The next prime is 122616331. The reversal of 122616313 is 313616221.

Together with next prime (122616331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122058304 + 558009 = 11048^2 + 747^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122616313 is a prime.

It is not a weakly prime, because it can be changed into another prime (122616353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61308156 + 61308157.

It is an arithmetic number, because the mean of its divisors is an integer number (61308157).

Almost surely, 2122616313 is an apocalyptic number.

It is an amenable number.

122616313 is a deficient number, since it is larger than the sum of its proper divisors (1).

122616313 is an equidigital number, since it uses as much as digits as its factorization.

122616313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 25.

The square root of 122616313 is about 11073.2250496411. The cubic root of 122616313 is about 496.8013313404.

The spelling of 122616313 in words is "one hundred twenty-two million, six hundred sixteen thousand, three hundred thirteen".