Search a number
-
+
12033313 is a prime number
BaseRepresentation
bin101101111001…
…110100100001
3211122100121021
4231321310201
511040031223
61105525441
7204165355
oct55716441
924570537
1012033313
116879896
124043881
132654206
141853465
1510ca65d
hexb79d21

12033313 has 2 divisors, whose sum is σ = 12033314. Its totient is φ = 12033312.

The previous prime is 12033299. The next prime is 12033323. The reversal of 12033313 is 31333021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7118224 + 4915089 = 2668^2 + 2217^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12033313 is a prime.

It is not a weakly prime, because it can be changed into another prime (12033323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6016656 + 6016657.

It is an arithmetic number, because the mean of its divisors is an integer number (6016657).

Almost surely, 212033313 is an apocalyptic number.

It is an amenable number.

12033313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12033313 is an equidigital number, since it uses as much as digits as its factorization.

12033313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 12033313 is about 3468.9066000687. The cubic root of 12033313 is about 229.1545075789.

Adding to 12033313 its reverse (31333021), we get a palindrome (43366334).

It can be divided in two parts, 120 and 33313, that added together give a palindrome (33433).

The spelling of 12033313 in words is "twelve million, thirty-three thousand, three hundred thirteen".