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122011323113 is a prime number
BaseRepresentation
bin111000110100001110…
…0010000101011101001
3102122221011211102010002
41301220130100223221
53444334344314423
6132015022032345
711546361064121
oct1615034205351
9378834742102
10122011323113
1147821235a29
121b7914186b5
13b675ac75a4
145c9650bc81
153291853228
hex1c68710ae9

122011323113 has 2 divisors, whose sum is σ = 122011323114. Its totient is φ = 122011323112.

The previous prime is 122011323097. The next prime is 122011323121. The reversal of 122011323113 is 311323110221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75868846249 + 46142476864 = 275443^2 + 214808^2 .

It is a cyclic number.

It is not a de Polignac number, because 122011323113 - 24 = 122011323097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122011323163) 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, 61005661556 + 61005661557.

It is an arithmetic number, because the mean of its divisors is an integer number (61005661557).

Almost surely, 2122011323113 is an apocalyptic number.

It is an amenable number.

122011323113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122011323113 is an equidigital number, since it uses as much as digits as its factorization.

122011323113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 122011323113 its reverse (311323110221), we get a palindrome (433334433334).

The spelling of 122011323113 in words is "one hundred twenty-two billion, eleven million, three hundred twenty-three thousand, one hundred thirteen".