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122201332313 is a prime number
BaseRepresentation
bin111000111001111000…
…1000101101001011001
3102200102102100212201212
41301303301011221121
54000232020113223
6132045530352505
711554156120604
oct1616361055131
9380372325655
10122201332313
1147909514725
121b824b8b735
13b6a6294278
145cb384d33b
1532a3387278
hex1c73c45a59

122201332313 has 2 divisors, whose sum is σ = 122201332314. Its totient is φ = 122201332312.

The previous prime is 122201332243. The next prime is 122201332321. The reversal of 122201332313 is 313233102221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122197786624 + 3545689 = 349568^2 + 1883^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122201332313 is a prime.

It is not a weakly prime, because it can be changed into another prime (122201332333) 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, 61100666156 + 61100666157.

It is an arithmetic number, because the mean of its divisors is an integer number (61100666157).

Almost surely, 2122201332313 is an apocalyptic number.

It is an amenable number.

122201332313 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201332313 is an equidigital number, since it uses as much as digits as its factorization.

122201332313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 122201332313 its reverse (313233102221), we get a palindrome (435434434534).

The spelling of 122201332313 in words is "one hundred twenty-two billion, two hundred one million, three hundred thirty-two thousand, three hundred thirteen".