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33013133 = 1718110729
BaseRepresentation
bin111110111101…
…1110110001101
32022010020111122
41331323312031
531422410013
63135330325
7550415126
oct175736615
968106448
1033013133
11176a928a
12b0809a5
136abb5ca
14455504d
152d71a08
hex1f7bd8d

33013133 has 8 divisors (see below), whose sum is σ = 35151480. Its totient is φ = 30896640.

The previous prime is 33013087. The next prime is 33013147. The reversal of 33013133 is 33131033.

It can be written as a sum of positive squares in 4 ways, for example, as 3452164 + 29560969 = 1858^2 + 5437^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33013133 - 26 = 33013069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33013153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2288 + ... + 8441.

It is an arithmetic number, because the mean of its divisors is an integer number (4393935).

Almost surely, 233013133 is an apocalyptic number.

It is an amenable number.

33013133 is a deficient number, since it is larger than the sum of its proper divisors (2138347).

33013133 is a wasteful number, since it uses less digits than its factorization.

33013133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10927.

The product of its (nonzero) digits is 243, while the sum is 17.

The square root of 33013133 is about 5745.7056137606. The cubic root of 33013133 is about 320.7959774051.

Adding to 33013133 its reverse (33131033), we get a palindrome (66144166).

The spelling of 33013133 in words is "thirty-three million, thirteen thousand, one hundred thirty-three".

Divisors: 1 17 181 3077 10729 182393 1941949 33013133