Search a number
-
+
33211133 is a prime number
BaseRepresentation
bin111111010110…
…0001011111101
32022111022002222
41332230023331
532000224013
63143455125
7552201314
oct176541375
968438088
1033211133
111782401a
12b1574a5
136b5a777
1445a727b
152db0508
hex1fac2fd

33211133 has 2 divisors, whose sum is σ = 33211134. Its totient is φ = 33211132.

The previous prime is 33211099. The next prime is 33211141. The reversal of 33211133 is 33111233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24078649 + 9132484 = 4907^2 + 3022^2 .

It is an emirp because it is prime and its reverse (33111233) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33211133 is a prime.

It is a super-2 number, since 2×332111332 = 2205958710287378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33211153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16605566 + 16605567.

It is an arithmetic number, because the mean of its divisors is an integer number (16605567).

Almost surely, 233211133 is an apocalyptic number.

It is an amenable number.

33211133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33211133 is an equidigital number, since it uses as much as digits as its factorization.

33211133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 162, while the sum is 17.

The square root of 33211133 is about 5762.9101155579. The cubic root of 33211133 is about 321.4360362193.

Adding to 33211133 its reverse (33111233), we get a palindrome (66322366).

The spelling of 33211133 in words is "thirty-three million, two hundred eleven thousand, one hundred thirty-three".