Search a number
-
+
1233322033 is a prime number
BaseRepresentation
bin100100110000011…
…0000000000110001
310011221201020202211
41021200300000301
510011212301113
6322214212121
742364031026
oct11140600061
93157636684
101233322033
115831a6109
122a5054041
13168690568
14b9b2554d
157341db3d
hex49830031

1233322033 has 2 divisors, whose sum is σ = 1233322034. Its totient is φ = 1233322032.

The previous prime is 1233322007. The next prime is 1233322037. The reversal of 1233322033 is 3302233321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1078991104 + 154330929 = 32848^2 + 12423^2 .

It is an emirp because it is prime and its reverse (3302233321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1233322033 - 225 = 1199767601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1233321995 and 1233322013.

It is not a weakly prime, because it can be changed into another prime (1233322037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 616661016 + 616661017.

It is an arithmetic number, because the mean of its divisors is an integer number (616661017).

Almost surely, 21233322033 is an apocalyptic number.

It is an amenable number.

1233322033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1233322033 is an equidigital number, since it uses as much as digits as its factorization.

1233322033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 22.

The square root of 1233322033 is about 35118.6849554479. The cubic root of 1233322033 is about 1072.4049996722.

Adding to 1233322033 its reverse (3302233321), we get a palindrome (4535555354).

The spelling of 1233322033 in words is "one billion, two hundred thirty-three million, three hundred twenty-two thousand, thirty-three".