Search a number
-
+
312115289 is a prime number
BaseRepresentation
bin10010100110101…
…000000001011001
3210202022002200112
4102212220001121
51114400142124
650545414105
710506636053
oct2246500131
9722262615
10312115289
111501a9922
128863a335
134c880405
142d6488d3
151c60390e
hex129a8059

312115289 has 2 divisors, whose sum is σ = 312115290. Its totient is φ = 312115288.

The previous prime is 312115273. The next prime is 312115303. The reversal of 312115289 is 982511213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 299809225 + 12306064 = 17315^2 + 3508^2 .

It is a cyclic number.

It is not a de Polignac number, because 312115289 - 24 = 312115273 is a prime.

It is not a weakly prime, because it can be changed into another prime (312115249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156057644 + 156057645.

It is an arithmetic number, because the mean of its divisors is an integer number (156057645).

Almost surely, 2312115289 is an apocalyptic number.

It is an amenable number.

312115289 is a deficient number, since it is larger than the sum of its proper divisors (1).

312115289 is an equidigital number, since it uses as much as digits as its factorization.

312115289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4320, while the sum is 32.

The square root of 312115289 is about 17666.7849084093. The cubic root of 312115289 is about 678.3258187801.

The spelling of 312115289 in words is "three hundred twelve million, one hundred fifteen thousand, two hundred eighty-nine".