Search a number
-
+
34333322033 is a prime number
BaseRepresentation
bin11111111110011011…
…001110101100110001
310021121202012110200202
4133332123032230301
51030303312301113
623434510124545
72323545264533
oct377633165461
9107552173622
1034333322033
11136192a100a
1267a21b0755
13331208068a
141939b67853
15d5e291258
hex7fe6ceb31

34333322033 has 2 divisors, whose sum is σ = 34333322034. Its totient is φ = 34333322032.

The previous prime is 34333322021. The next prime is 34333322039. The reversal of 34333322033 is 33022333343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34322379169 + 10942864 = 185263^2 + 3308^2 .

It is an emirp because it is prime and its reverse (33022333343) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34333322033 - 24 = 34333322017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34333321987 and 34333322005.

It is not a weakly prime, because it can be changed into another prime (34333322039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17166661016 + 17166661017.

It is an arithmetic number, because the mean of its divisors is an integer number (17166661017).

Almost surely, 234333322033 is an apocalyptic number.

It is an amenable number.

34333322033 is a deficient number, since it is larger than the sum of its proper divisors (1).

34333322033 is an equidigital number, since it uses as much as digits as its factorization.

34333322033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 29.

Adding to 34333322033 its reverse (33022333343), we get a palindrome (67355655376).

The spelling of 34333322033 in words is "thirty-four billion, three hundred thirty-three million, three hundred twenty-two thousand, thirty-three".