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820108691317 is a prime number
BaseRepresentation
bin10111110111100100100…
…10011000011101110101
32220101211210012002200201
423323302102120131311
5101414040311110232
61424430331240501
7113152025600146
oct13736222303565
92811753162621
10820108691317
11296895a81153
12112b388a9131
135c44a01baa6
142b99cc61acd
15164ed87cbe7
hexbef2498775

820108691317 has 2 divisors, whose sum is σ = 820108691318. Its totient is φ = 820108691316.

The previous prime is 820108691309. The next prime is 820108691323. The reversal of 820108691317 is 713196801028.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 743778605476 + 76330085841 = 862426^2 + 276279^2 .

It is a cyclic number.

It is not a de Polignac number, because 820108691317 - 23 = 820108691309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820108691417) 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, 410054345658 + 410054345659.

It is an arithmetic number, because the mean of its divisors is an integer number (410054345659).

Almost surely, 2820108691317 is an apocalyptic number.

It is an amenable number.

820108691317 is a deficient number, since it is larger than the sum of its proper divisors (1).

820108691317 is an equidigital number, since it uses as much as digits as its factorization.

820108691317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 820108691317 in words is "eight hundred twenty billion, one hundred eight million, six hundred ninety-one thousand, three hundred seventeen".