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33000133 is a prime number
BaseRepresentation
bin111110111100…
…0101011000101
32022002120200011
41331320223011
531422001013
63135150221
7550332205
oct175705305
968076604
1033000133
111769a541
12b075371
136ab570a
144550405
152d6cc3d
hex1f78ac5

33000133 has 2 divisors, whose sum is σ = 33000134. Its totient is φ = 33000132.

The previous prime is 33000127. The next prime is 33000139. The reversal of 33000133 is 33100033.

It is a balanced prime because it is at equal distance from previous prime (33000127) and next prime (33000139).

It can be written as a sum of positive squares in only one way, i.e., 23648769 + 9351364 = 4863^2 + 3058^2 .

It is a cyclic number.

It is not a de Polignac number, because 33000133 - 221 = 30902981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33000139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16500066 + 16500067.

It is an arithmetic number, because the mean of its divisors is an integer number (16500067).

Almost surely, 233000133 is an apocalyptic number.

It is an amenable number.

33000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33000133 is an equidigital number, since it uses as much as digits as its factorization.

33000133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 13.

The square root of 33000133 is about 5744.5742226905. The cubic root of 33000133 is about 320.7538639102.

Adding to 33000133 its reverse (33100033), we get a palindrome (66100166).

It can be divided in two parts, 33000 and 133, that added together give a palindrome (33133).

The spelling of 33000133 in words is "thirty-three million, one hundred thirty-three", and thus it is an aban number.