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122121322331 is a prime number
BaseRepresentation
bin111000110111011111…
…1110111111101011011
3102200012211210221200012
41301232333313331123
54000101024303311
6132033551432135
711552165053421
oct1615677677533
9380184727605
10122121322331
1147878336a78
121b80222564b
13b69282c498
145ca6d83111
15329b33078b
hex1c6eff7f5b

122121322331 has 2 divisors, whose sum is σ = 122121322332. Its totient is φ = 122121322330.

The previous prime is 122121322313. The next prime is 122121322381. The reversal of 122121322331 is 133223121221.

Together with previous prime (122121322313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 122121322331 - 214 = 122121305947 is a prime.

It is a super-2 number, since 2×1221213223312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122121322297 and 122121322306.

It is not a weakly prime, because it can be changed into another prime (122121322381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060661165 + 61060661166.

It is an arithmetic number, because the mean of its divisors is an integer number (61060661166).

Almost surely, 2122121322331 is an apocalyptic number.

122121322331 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121322331 is an equidigital number, since it uses as much as digits as its factorization.

122121322331 is an evil number, because the sum of its binary digits is even.

The product of its digits is 864, while the sum is 23.

Adding to 122121322331 its reverse (133223121221), we get a palindrome (255344443552).

The spelling of 122121322331 in words is "one hundred twenty-two billion, one hundred twenty-one million, three hundred twenty-two thousand, three hundred thirty-one".