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122323211113 is a prime number
BaseRepresentation
bin111000111101100001…
…0000001001101101001
3102200201220200222000111
41301323002001031221
54001004220223423
6132110002534321
711560166065435
oct1617302011551
9380656628014
10122323211113
114797129a004
121b8599673a1
13b6c55c83bc
145cc5ad79c5
1532ade0e60d
hex1c7b081369

122323211113 has 2 divisors, whose sum is σ = 122323211114. Its totient is φ = 122323211112.

The previous prime is 122323211093. The next prime is 122323211177. The reversal of 122323211113 is 311112323221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118644424704 + 3678786409 = 344448^2 + 60653^2 .

It is a cyclic number.

It is not a de Polignac number, because 122323211113 - 225 = 122289656681 is a prime.

It is not a weakly prime, because it can be changed into another prime (122323271113) 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, 61161605556 + 61161605557.

It is an arithmetic number, because the mean of its divisors is an integer number (61161605557).

Almost surely, 2122323211113 is an apocalyptic number.

It is an amenable number.

122323211113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122323211113 is an equidigital number, since it uses as much as digits as its factorization.

122323211113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 22.

Adding to 122323211113 its reverse (311112323221), we get a palindrome (433435534334).

The spelling of 122323211113 in words is "one hundred twenty-two billion, three hundred twenty-three million, two hundred eleven thousand, one hundred thirteen".