Search a number
-
+
12322033 is a prime number
BaseRepresentation
bin101111000000…
…010011110001
3212012000122121
4233000103301
511123301113
61120034241
7206510203
oct57002361
925160577
1012322033
116a567a9
124162981
132725759
1418ca773
151135e8d
hexbc04f1

12322033 has 2 divisors, whose sum is σ = 12322034. Its totient is φ = 12322032.

The previous prime is 12322031. The next prime is 12322039. The reversal of 12322033 is 33022321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9784384 + 2537649 = 3128^2 + 1593^2 .

It is an emirp because it is prime and its reverse (33022321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12322033 - 21 = 12322031 is a prime.

Together with 12322031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12321998 and 12322016.

It is not a weakly prime, because it can be changed into another prime (12322031) 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, 6161016 + 6161017.

It is an arithmetic number, because the mean of its divisors is an integer number (6161017).

Almost surely, 212322033 is an apocalyptic number.

It is an amenable number.

12322033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12322033 is an equidigital number, since it uses as much as digits as its factorization.

12322033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 12322033 is about 3510.2753453255. The cubic root of 12322033 is about 230.9727734132.

Adding to 12322033 its reverse (33022321), we get a palindrome (45344354).

The spelling of 12322033 in words is "twelve million, three hundred twenty-two thousand, thirty-three".