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122322211113317 is a prime number
BaseRepresentation
bin11011110100000001011011…
…111100010000100101100101
3121001002220000012200101011012
4123310001123330100211211
5112013111342021111232
61112054014212152005
734523326265025155
oct3364013374204545
9531086005611135
10122322211113317
1135a80616270496
1211876a45008605
135333c202ba437
14222c5d8878765
15e21d34c229b2
hex6f405bf10965

122322211113317 has 2 divisors, whose sum is σ = 122322211113318. Its totient is φ = 122322211113316.

The previous prime is 122322211113293. The next prime is 122322211113331. The reversal of 122322211113317 is 713311112223221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101851572359716 + 20470638753601 = 10092154^2 + 4524449^2 .

It is a cyclic number.

It is not a de Polignac number, because 122322211113317 - 218 = 122322210851173 is a prime.

It is a super-3 number, since 3×1223222111133173 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122322211113917) 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, 61161105556658 + 61161105556659.

It is an arithmetic number, because the mean of its divisors is an integer number (61161105556659).

Almost surely, 2122322211113317 is an apocalyptic number.

It is an amenable number.

122322211113317 is a deficient number, since it is larger than the sum of its proper divisors (1).

122322211113317 is an equidigital number, since it uses as much as digits as its factorization.

122322211113317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 32.

Adding to 122322211113317 its reverse (713311112223221), we get a palindrome (835633323336538).

The spelling of 122322211113317 in words is "one hundred twenty-two trillion, three hundred twenty-two billion, two hundred eleven million, one hundred thirteen thousand, three hundred seventeen".