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122673446417 is a prime number
BaseRepresentation
bin111001000111111101…
…0000011111000010001
3102201122022201202112102
41302033322003320101
54002213400241132
6132204433410145
711601651042554
oct1621772037021
9381568652472
10122673446417
1148030a64a75
121b937109955
13b750034722
145d1a42669b
1532cea42c62
hex1c8fe83e11

122673446417 has 2 divisors, whose sum is σ = 122673446418. Its totient is φ = 122673446416.

The previous prime is 122673446383. The next prime is 122673446501. The reversal of 122673446417 is 714644376221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81969980416 + 40703466001 = 286304^2 + 201751^2 .

It is a cyclic number.

It is not a de Polignac number, because 122673446417 - 228 = 122405010961 is a prime.

It is not a weakly prime, because it can be changed into another prime (122673446117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61336723208 + 61336723209.

It is an arithmetic number, because the mean of its divisors is an integer number (61336723209).

Almost surely, 2122673446417 is an apocalyptic number.

It is an amenable number.

122673446417 is a deficient number, since it is larger than the sum of its proper divisors (1).

122673446417 is an equidigital number, since it uses as much as digits as its factorization.

122673446417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1354752, while the sum is 47.

The spelling of 122673446417 in words is "one hundred twenty-two billion, six hundred seventy-three million, four hundred forty-six thousand, four hundred seventeen".