Search a number
-
+
312948287297 is a prime number
BaseRepresentation
bin1001000110111010010…
…10111110011101000001
31002220202220102011201022
410203131022332131001
520111404230143142
6355433315515225
731416102360152
oct4433512763501
91086686364638
10312948287297
111107a2171188
12507998b8b15
1323684595779
141120aa89929
1582192e86d2
hex48dd2be741

312948287297 has 2 divisors, whose sum is σ = 312948287298. Its totient is φ = 312948287296.

The previous prime is 312948287263. The next prime is 312948287317. The reversal of 312948287297 is 792782849213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312739311361 + 208975936 = 559231^2 + 14456^2 .

It is a cyclic number.

It is not a de Polignac number, because 312948287297 - 212 = 312948283201 is a prime.

It is not a weakly prime, because it can be changed into another prime (312948287227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156474143648 + 156474143649.

It is an arithmetic number, because the mean of its divisors is an integer number (156474143649).

Almost surely, 2312948287297 is an apocalyptic number.

It is an amenable number.

312948287297 is a deficient number, since it is larger than the sum of its proper divisors (1).

312948287297 is an equidigital number, since it uses as much as digits as its factorization.

312948287297 is an evil number, because the sum of its binary digits is even.

The product of its digits is 24385536, while the sum is 62.

The spelling of 312948287297 in words is "three hundred twelve billion, nine hundred forty-eight million, two hundred eighty-seven thousand, two hundred ninety-seven".