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808112593201 is a prime number
BaseRepresentation
bin10111100001001110100…
…00111001100100110001
32212020212202102011201111
423300213100321210301
5101220003310440301
61415124121233321
7112245532464154
oct13604720714461
92766782364644
10808112593201
1129179a545081
1211074b332841
135b287922294
142b18197bc9b
151604a62d551
hexbc27439931

808112593201 has 2 divisors, whose sum is σ = 808112593202. Its totient is φ = 808112593200.

The previous prime is 808112593163. The next prime is 808112593219. The reversal of 808112593201 is 102395211808.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 776134570225 + 31978022976 = 880985^2 + 178824^2 .

It is a cyclic number.

It is not a de Polignac number, because 808112593201 - 29 = 808112592689 is a prime.

It is a super-2 number, since 2×8081125932012 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (808112593241) 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, 404056296600 + 404056296601.

It is an arithmetic number, because the mean of its divisors is an integer number (404056296601).

Almost surely, 2808112593201 is an apocalyptic number.

It is an amenable number.

808112593201 is a deficient number, since it is larger than the sum of its proper divisors (1).

808112593201 is an equidigital number, since it uses as much as digits as its factorization.

808112593201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 40.

The spelling of 808112593201 in words is "eight hundred eight billion, one hundred twelve million, five hundred ninety-three thousand, two hundred one".