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214004701817 is a prime number
BaseRepresentation
bin1100011101001110101…
…1001001101001111001
3202110101100121020202022
43013103223021221321
512001240200424232
6242151251244225
721314143644314
oct3072353115171
9673340536668
10214004701817
1182839090a35
12355858a9675
13172468b619a
14a50205d97b
155877bd5812
hex31d3ac9a79

214004701817 has 2 divisors, whose sum is σ = 214004701818. Its totient is φ = 214004701816.

The previous prime is 214004701777. The next prime is 214004701837. The reversal of 214004701817 is 718107400412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206185013776 + 7819688041 = 454076^2 + 88429^2 .

It is a cyclic number.

It is not a de Polignac number, because 214004701817 - 216 = 214004636281 is a prime.

It is not a weakly prime, because it can be changed into another prime (214004701837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107002350908 + 107002350909.

It is an arithmetic number, because the mean of its divisors is an integer number (107002350909).

Almost surely, 2214004701817 is an apocalyptic number.

It is an amenable number.

214004701817 is a deficient number, since it is larger than the sum of its proper divisors (1).

214004701817 is an equidigital number, since it uses as much as digits as its factorization.

214004701817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12544, while the sum is 35.

The spelling of 214004701817 in words is "two hundred fourteen billion, four million, seven hundred one thousand, eight hundred seventeen".