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13012334133 = 329612451919
BaseRepresentation
bin11000001111001100…
…00111011000110101
31020120212000001201020
430013212013120311
5203122124143013
65551111251353
7640313005131
oct140746073065
936525001636
1013012334133
11557813a257
122631979b59
1312c4accac6
148b625a3c1
1551258b623
hex307987635

13012334133 has 16 divisors (see below), whose sum is σ = 18242284800. Its totient is φ = 8238444480.

The previous prime is 13012334107. The next prime is 13012334141. The reversal of 13012334133 is 33143321031.

It is a happy number.

13012334133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13012334133 - 213 = 13012325941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012334143) 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 in 15 ways as a sum of consecutive naturals, for example, 1220653 + ... + 1231266.

It is an arithmetic number, because the mean of its divisors is an integer number (1140142800).

Almost surely, 213012334133 is an apocalyptic number.

It is an amenable number.

13012334133 is a deficient number, since it is larger than the sum of its proper divisors (5229950667).

13012334133 is a wasteful number, since it uses less digits than its factorization.

13012334133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452012.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13012334133 its reverse (33143321031), we get a palindrome (46155655164).

The spelling of 13012334133 in words is "thirteen billion, twelve million, three hundred thirty-four thousand, one hundred thirty-three".

Divisors: 1 3 29 61 87 183 1769 5307 2451919 7355757 71105651 149567059 213316953 448701177 4337444711 13012334133