Search a number
-
+
122310212113 is a prime number
BaseRepresentation
bin111000111101001000…
…0011011101000010001
3102200201000020112202001
41301322100123220101
54000442403241423
6132104420154001
711556650435455
oct1617220335021
9380630215661
10122310212113
1147964a20731
121b855538901
13b6c29c679b
145cc40b2665
1532acbe2cad
hex1c7a41ba11

122310212113 has 2 divisors, whose sum is σ = 122310212114. Its totient is φ = 122310212112.

The previous prime is 122310212111. The next prime is 122310212119. The reversal of 122310212113 is 311212013221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84661795089 + 37648417024 = 290967^2 + 194032^2 .

It is a cyclic number.

It is not a de Polignac number, because 122310212113 - 21 = 122310212111 is a prime.

Together with 122310212111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122310212111) 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, 61155106056 + 61155106057.

It is an arithmetic number, because the mean of its divisors is an integer number (61155106057).

Almost surely, 2122310212113 is an apocalyptic number.

It is an amenable number.

122310212113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122310212113 is an equidigital number, since it uses as much as digits as its factorization.

122310212113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122310212113 its reverse (311212013221), we get a palindrome (433522225334).

The spelling of 122310212113 in words is "one hundred twenty-two billion, three hundred ten million, two hundred twelve thousand, one hundred thirteen".