Search a number
-
+
312824750129 is a prime number
BaseRepresentation
bin1001000110101011100…
…11101110000000110001
31002220110021221211120122
410203111303232000301
520111131114001004
6355413144020025
731413042334403
oct4432563560061
91086407854518
10312824750129
11110739463951
1250764461615
1323664b00858
14111d84ccb73
15820d544cbe
hex48d5cee031

312824750129 has 2 divisors, whose sum is σ = 312824750130. Its totient is φ = 312824750128.

The previous prime is 312824750099. The next prime is 312824750177. The reversal of 312824750129 is 921057428213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 272638533904 + 40186216225 = 522148^2 + 200465^2 .

It is a cyclic number.

It is not a de Polignac number, because 312824750129 - 28 = 312824749873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312824750129.

It is not a weakly prime, because it can be changed into another prime (312824720129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156412375064 + 156412375065.

It is an arithmetic number, because the mean of its divisors is an integer number (156412375065).

Almost surely, 2312824750129 is an apocalyptic number.

It is an amenable number.

312824750129 is a deficient number, since it is larger than the sum of its proper divisors (1).

312824750129 is an equidigital number, since it uses as much as digits as its factorization.

312824750129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 312824750129 in words is "three hundred twelve billion, eight hundred twenty-four million, seven hundred fifty thousand, one hundred twenty-nine".