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122413132031 is a prime number
BaseRepresentation
bin111001000000001100…
…1000010100011111111
3102200222011220102022212
41302000121002203333
54001200230211111
6132122534131035
711562340311521
oct1620031024377
9380864812285
10122413132031
1147a08026a13
121b883ab0a7b
13b70b120348
145cd3a23a11
1532b6c7298b
hex1c806428ff

122413132031 has 2 divisors, whose sum is σ = 122413132032. Its totient is φ = 122413132030.

The previous prime is 122413132003. The next prime is 122413132063. The reversal of 122413132031 is 130231314221.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 122413132031 - 210 = 122413131007 is a prime.

It is a super-2 number, since 2×1224131320312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122413131988 and 122413132006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122413131031) 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, 61206566015 + 61206566016.

It is an arithmetic number, because the mean of its divisors is an integer number (61206566016).

Almost surely, 2122413132031 is an apocalyptic number.

122413132031 is a deficient number, since it is larger than the sum of its proper divisors (1).

122413132031 is an equidigital number, since it uses as much as digits as its factorization.

122413132031 is an odious number, because the sum of its binary digits is odd.

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

Adding to 122413132031 its reverse (130231314221), we get a palindrome (252644446252).

The spelling of 122413132031 in words is "one hundred twenty-two billion, four hundred thirteen million, one hundred thirty-two thousand, thirty-one".