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800163313 = 532284857
BaseRepresentation
bin101111101100011…
…000010111110001
32001202122111201021
4233230120113301
53114320211223
6211222135441
725554163435
oct5754302761
92052574637
10800163313
113807425a4
121a3b81581
13c9a0c321
14783ac9c5
154a3aa65d
hex2fb185f1

800163313 has 6 divisors (see below), whose sum is σ = 815548454. Its totient is φ = 785063136.

The previous prime is 800163281. The next prime is 800163317. The reversal of 800163313 is 313361008.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 302516449 + 497646864 = 17393^2 + 22308^2 .

It is not a de Polignac number, because 800163313 - 25 = 800163281 is a prime.

It is a super-2 number, since 2×8001633132 = 1280522654942271938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (800163317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139620 + ... + 145237.

Almost surely, 2800163313 is an apocalyptic number.

It is an amenable number.

800163313 is a deficient number, since it is larger than the sum of its proper divisors (15385141).

800163313 is an equidigital number, since it uses as much as digits as its factorization.

800163313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284963 (or 284910 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 800163313 is about 28287.1580933822. The cubic root of 800163313 is about 928.3809317410.

The spelling of 800163313 in words is "eight hundred million, one hundred sixty-three thousand, three hundred thirteen".

Divisors: 1 53 2809 284857 15097421 800163313