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122343313331 is a prime number
BaseRepresentation
bin111000111110000111…
…0101100111110110011
3102200210022112021002002
41301330032230332303
54001024342011311
6132112001444215
711560532001461
oct1617416547663
9380708467062
10122343313331
114798167a108
121b86464066b
13b6c98161c5
145cc864b831
1532b0a8093b
hex1c7c3acfb3

122343313331 has 2 divisors, whose sum is σ = 122343313332. Its totient is φ = 122343313330.

The previous prime is 122343313273. The next prime is 122343313333. The reversal of 122343313331 is 133313343221.

It is a strong prime.

It is an emirp because it is prime and its reverse (133313343221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122343313331 - 214 = 122343296947 is a prime.

It is a super-2 number, since 2×1223433133312 (a number of 23 digits) contains 22 as substring.

Together with 122343313333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 122343313294 and 122343313303.

It is not a weakly prime, because it can be changed into another prime (122343313333) 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, 61171656665 + 61171656666.

It is an arithmetic number, because the mean of its divisors is an integer number (61171656666).

Almost surely, 2122343313331 is an apocalyptic number.

122343313331 is a deficient number, since it is larger than the sum of its proper divisors (1).

122343313331 is an equidigital number, since it uses as much as digits as its factorization.

122343313331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 29.

Adding to 122343313331 its reverse (133313343221), we get a palindrome (255656656552).

The spelling of 122343313331 in words is "one hundred twenty-two billion, three hundred forty-three million, three hundred thirteen thousand, three hundred thirty-one".