Search a number
-
+
8001171317 is a prime number
BaseRepresentation
bin1110111001110100…
…00010111101110101
3202122121121121122102
413130322002331311
5112341244440232
63401540511445
7402163556036
oct73472027565
922577547572
108001171317
1134364a8487
1216736ab585
139a68632c9
1455c8d0a8d
1531c67c662
hex1dce82f75

8001171317 has 2 divisors, whose sum is σ = 8001171318. Its totient is φ = 8001171316.

The previous prime is 8001171281. The next prime is 8001171319. The reversal of 8001171317 is 7131711008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6553064401 + 1448106916 = 80951^2 + 38054^2 .

It is a cyclic number.

It is not a de Polignac number, because 8001171317 - 210 = 8001170293 is a prime.

Together with 8001171319, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8001171317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8001171319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4000585658 + 4000585659.

It is an arithmetic number, because the mean of its divisors is an integer number (4000585659).

Almost surely, 28001171317 is an apocalyptic number.

It is an amenable number.

8001171317 is a deficient number, since it is larger than the sum of its proper divisors (1).

8001171317 is an equidigital number, since it uses as much as digits as its factorization.

8001171317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1176, while the sum is 29.

The square root of 8001171317 is about 89449.2667214215. The cubic root of 8001171317 is about 2000.0976049866.

The spelling of 8001171317 in words is "eight billion, one million, one hundred seventy-one thousand, three hundred seventeen".