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2315820432817 is a prime number
BaseRepresentation
bin100001101100110001101…
…001110111110110110001
322012101112111201010122101
4201230301221313312301
5300420300012322232
64531512340540401
7326212121614303
oct41546151676661
98171474633571
102315820432817
11813152296451
123149a36b1701
1313a4c4b97318
148012cb7d973
154038e5121e7
hex21b31a77db1

2315820432817 has 2 divisors, whose sum is σ = 2315820432818. Its totient is φ = 2315820432816.

The previous prime is 2315820432787. The next prime is 2315820432847. The reversal of 2315820432817 is 7182340285132.

It is a balanced prime because it is at equal distance from previous prime (2315820432787) and next prime (2315820432847).

It can be written as a sum of positive squares in only one way, i.e., 2303886836736 + 11933596081 = 1517856^2 + 109241^2 .

It is a cyclic number.

It is not a de Polignac number, because 2315820432817 - 219 = 2315819908529 is a prime.

It is not a weakly prime, because it can be changed into another prime (2315820432847) 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, 1157910216408 + 1157910216409.

It is an arithmetic number, because the mean of its divisors is an integer number (1157910216409).

Almost surely, 22315820432817 is an apocalyptic number.

It is an amenable number.

2315820432817 is a deficient number, since it is larger than the sum of its proper divisors (1).

2315820432817 is an equidigital number, since it uses as much as digits as its factorization.

2315820432817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 2315820432817 in words is "two trillion, three hundred fifteen billion, eight hundred twenty million, four hundred thirty-two thousand, eight hundred seventeen".