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122314223201 is a prime number
BaseRepresentation
bin111000111101001111…
…1101110111001100001
3102200201021210022220212
41301322133232321201
54000444420120301
6132105042143505
711560026512552
oct1617237567141
9380637708825
10122314223201
1147967210285
121b856951b95
13b6c379c401
145cc4838329
1532ad2364bb
hex1c7a7eee61

122314223201 has 2 divisors, whose sum is σ = 122314223202. Its totient is φ = 122314223200.

The previous prime is 122314223197. The next prime is 122314223231. The reversal of 122314223201 is 102322413221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112375130176 + 9939093025 = 335224^2 + 99695^2 .

It is a cyclic number.

It is not a de Polignac number, because 122314223201 - 22 = 122314223197 is a prime.

It is not a weakly prime, because it can be changed into another prime (122314223231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61157111600 + 61157111601.

It is an arithmetic number, because the mean of its divisors is an integer number (61157111601).

Almost surely, 2122314223201 is an apocalyptic number.

It is an amenable number.

122314223201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122314223201 is an equidigital number, since it uses as much as digits as its factorization.

122314223201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 122314223201 its reverse (102322413221), we get a palindrome (224636636422).

The spelling of 122314223201 in words is "one hundred twenty-two billion, three hundred fourteen million, two hundred twenty-three thousand, two hundred one".