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13120533 = 323123741
BaseRepresentation
bin110010000011…
…010000010101
3220200120222200
4302003100111
511324324113
61145115113
7216344166
oct62032025
926616880
1013120533
117451718
124488a99
13294503a
141a5776d
151242873
hexc83415

13120533 has 36 divisors (see below), whose sum is σ = 20602764. Its totient is φ = 8035200.

The previous prime is 13120531. The next prime is 13120537. The reversal of 13120533 is 33502131.

13120533 is a `hidden beast` number, since 13 + 120 + 533 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5846724 + 7273809 = 2418^2 + 2697^2 .

It is not a de Polignac number, because 13120533 - 21 = 13120531 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120531) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 319993 + ... + 320033.

It is an arithmetic number, because the mean of its divisors is an integer number (572299).

Almost surely, 213120533 is an apocalyptic number.

It is an amenable number.

13120533 is a deficient number, since it is larger than the sum of its proper divisors (7482231).

13120533 is a wasteful number, since it uses less digits than its factorization.

13120533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13120533 is about 3622.2276295120. The cubic root of 13120533 is about 235.8579354219.

Adding to 13120533 its reverse (33502131), we get a palindrome (46622664).

The spelling of 13120533 in words is "thirteen million, one hundred twenty thousand, five hundred thirty-three".

Divisors: 1 3 9 31 37 41 93 111 123 279 333 369 961 1147 1271 1517 2883 3441 3813 4551 8649 10323 11439 13653 35557 39401 47027 106671 118203 141081 320013 354609 423243 1457837 4373511 13120533