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122232333313 is a prime number
BaseRepresentation
bin111000111010110011…
…1010110010000000001
3102200111120200220010001
41301311213112100001
54000312434131223
6132052555040001
711555013455536
oct1616547262001
9380446626101
10122232333313
1147924a69192
121b833440001
13b6ac829a5c
145cb79dcd8d
1532a5e5c9ad
hex1c759d6401

122232333313 has 2 divisors, whose sum is σ = 122232333314. Its totient is φ = 122232333312.

The previous prime is 122232333271. The next prime is 122232333341. The reversal of 122232333313 is 313333232221.

It is an a-pointer prime, because the next prime (122232333341) can be obtained adding 122232333313 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104557162609 + 17675170704 = 323353^2 + 132948^2 .

It is a cyclic number.

It is not a de Polignac number, because 122232333313 - 213 = 122232325121 is a prime.

It is not a weakly prime, because it can be changed into another prime (122232333413) 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, 61116166656 + 61116166657.

It is an arithmetic number, because the mean of its divisors is an integer number (61116166657).

Almost surely, 2122232333313 is an apocalyptic number.

It is an amenable number.

122232333313 is a deficient number, since it is larger than the sum of its proper divisors (1).

122232333313 is an equidigital number, since it uses as much as digits as its factorization.

122232333313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 28.

Adding to 122232333313 its reverse (313333232221), we get a palindrome (435565565534).

The spelling of 122232333313 in words is "one hundred twenty-two billion, two hundred thirty-two million, three hundred thirty-three thousand, three hundred thirteen".