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122313123109 is a prime number
BaseRepresentation
bin111000111101001101…
…1100010010100100101
3102200201012201102212201
41301322123202110211
54000444124414414
6132105002414501
711560014251362
oct1617233422445
9380635642781
10122313123109
1147966629811
121b856501431
13b6c34a5778
145cc462d469
1532ad0ba574
hex1c7a6e2525

122313123109 has 2 divisors, whose sum is σ = 122313123110. Its totient is φ = 122313123108.

The previous prime is 122313123083. The next prime is 122313123113. The reversal of 122313123109 is 901321313221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121114440225 + 1198682884 = 348015^2 + 34622^2 .

It is a cyclic number.

It is not a de Polignac number, because 122313123109 - 25 = 122313123077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122313123169) 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, 61156561554 + 61156561555.

It is an arithmetic number, because the mean of its divisors is an integer number (61156561555).

Almost surely, 2122313123109 is an apocalyptic number.

It is an amenable number.

122313123109 is a deficient number, since it is larger than the sum of its proper divisors (1).

122313123109 is an equidigital number, since it uses as much as digits as its factorization.

122313123109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 122313123109 in words is "one hundred twenty-two billion, three hundred thirteen million, one hundred twenty-three thousand, one hundred nine".