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122331000017 is a prime number
BaseRepresentation
bin111000111101101111…
…1101110110011010001
3102200202110100200101102
41301323133232303101
54001013214000032
6132110441514145
711560322225552
oct1617337566321
9380673320342
10122331000017
1147975729a16
121b8604a2955
13b6c70c4715
145cc6b64329
1532ae94c362
hex1c7b7eecd1

122331000017 has 2 divisors, whose sum is σ = 122331000018. Its totient is φ = 122331000016.

The previous prime is 122330999981. The next prime is 122331000019. The reversal of 122331000017 is 710000133221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78556317841 + 43774682176 = 280279^2 + 209224^2 .

It is an emirp because it is prime and its reverse (710000133221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122331000017 is a prime.

Together with 122331000019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122331000019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61165500008 + 61165500009.

It is an arithmetic number, because the mean of its divisors is an integer number (61165500009).

Almost surely, 2122331000017 is an apocalyptic number.

It is an amenable number.

122331000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

122331000017 is an equidigital number, since it uses as much as digits as its factorization.

122331000017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 20.

Adding to 122331000017 its reverse (710000133221), we get a palindrome (832331133238).

The spelling of 122331000017 in words is "one hundred twenty-two billion, three hundred thirty-one million, seventeen", and thus it is an aban number.