Search a number
-
+
36033133 is a prime number
BaseRepresentation
bin1000100101110…
…1001001101101
32111210200011111
42021131021231
533211030013
63324152021
7615163603
oct211351155
974720144
1036033133
1119381254
1210098611
1376080a6
144add873
15326b73d
hex225d26d

36033133 has 2 divisors, whose sum is σ = 36033134. Its totient is φ = 36033132.

The previous prime is 36033121. The next prime is 36033187. The reversal of 36033133 is 33133063.

It is a happy number.

36033133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33200644 + 2832489 = 5762^2 + 1683^2 .

It is an emirp because it is prime and its reverse (33133063) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36033133 - 221 = 33935981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36033113) 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, 18016566 + 18016567.

It is an arithmetic number, because the mean of its divisors is an integer number (18016567).

Almost surely, 236033133 is an apocalyptic number.

It is an amenable number.

36033133 is a deficient number, since it is larger than the sum of its proper divisors (1).

36033133 is an equidigital number, since it uses as much as digits as its factorization.

36033133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 22.

The square root of 36033133 is about 6002.7604483271. The cubic root of 36033133 is about 330.2939926759.

Adding to 36033133 its reverse (33133063), we get a palindrome (69166196).

The spelling of 36033133 in words is "thirty-six million, thirty-three thousand, one hundred thirty-three".