Search a number
-
+
288316313 is a prime number
BaseRepresentation
bin10001001011110…
…101101110011001
3202002111222121222
4101023311232121
51042302110223
644335341425
710100435225
oct2113655631
9662458558
10288316313
1113882434a
1280681875
1347969a8c
142a411785
151a4a20c8
hex112f5b99

288316313 has 2 divisors, whose sum is σ = 288316314. Its totient is φ = 288316312.

The previous prime is 288316271. The next prime is 288316373. The reversal of 288316313 is 313613882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 154057744 + 134258569 = 12412^2 + 11587^2 .

It is a cyclic number.

It is not a de Polignac number, because 288316313 - 224 = 271539097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (288316373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144158156 + 144158157.

It is an arithmetic number, because the mean of its divisors is an integer number (144158157).

Almost surely, 2288316313 is an apocalyptic number.

It is an amenable number.

288316313 is a deficient number, since it is larger than the sum of its proper divisors (1).

288316313 is an equidigital number, since it uses as much as digits as its factorization.

288316313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20736, while the sum is 35.

The square root of 288316313 is about 16979.8796521059. The cubic root of 288316313 is about 660.6271304209.

The spelling of 288316313 in words is "two hundred eighty-eight million, three hundred sixteen thousand, three hundred thirteen".