Search a number
-
+
12824334041 is a prime number
BaseRepresentation
bin10111111000110001…
…11100111011011001
31020002202020200001212
423330120330323121
5202231012142131
65520313552505
7632541016661
oct137430747331
936082220055
1012824334041
115491002a82
12259aa15735
131294b8774c
148992bd1a1
15500d02a2b
hex2fc63ced9

12824334041 has 2 divisors, whose sum is σ = 12824334042. Its totient is φ = 12824334040.

The previous prime is 12824334011. The next prime is 12824334053. The reversal of 12824334041 is 14043342821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10505430016 + 2318904025 = 102496^2 + 48155^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12824334041 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12824333989 and 12824334007.

It is not a weakly prime, because it can be changed into another prime (12824334001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6412167020 + 6412167021.

It is an arithmetic number, because the mean of its divisors is an integer number (6412167021).

Almost surely, 212824334041 is an apocalyptic number.

It is an amenable number.

12824334041 is a deficient number, since it is larger than the sum of its proper divisors (1).

12824334041 is an equidigital number, since it uses as much as digits as its factorization.

12824334041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 12824334041 its reverse (14043342821), we get a palindrome (26867676862).

The spelling of 12824334041 in words is "twelve billion, eight hundred twenty-four million, three hundred thirty-four thousand, forty-one".