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11320013133 = 32111314815939
BaseRepresentation
bin10101000101011100…
…11011000101001101
31002012220121020201200
422202232123011031
5141140410410013
65111135100113
7550343344512
oct124256330515
932186536650
1011320013133
114889941460
12223b071639
1310b5311830
147955b3309
15463c02e73
hex2a2b9b14d

11320013133 has 48 divisors (see below), whose sum is σ = 19225926720. Its totient is φ = 6327532800.

The previous prime is 11320013119. The next prime is 11320013161. The reversal of 11320013133 is 33131002311.

It is a happy number.

11320013133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-11320013133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320013233) 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 47 ways as a sum of consecutive naturals, for example, 1903078 + ... + 1909016.

It is an arithmetic number, because the mean of its divisors is an integer number (400540140).

Almost surely, 211320013133 is an apocalyptic number.

11320013133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11320013133 is a deficient number, since it is larger than the sum of its proper divisors (7905913587).

11320013133 is a wasteful number, since it uses less digits than its factorization.

11320013133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7450 (or 7447 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11320013133 its reverse (33131002311), we get a palindrome (44451015444).

The spelling of 11320013133 in words is "eleven billion, three hundred twenty million, thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 1481 4443 5939 13329 16291 17817 19253 48873 53451 57759 65329 77207 146619 173277 195987 211783 231621 587961 635349 694863 849277 1906047 2547831 7643493 8795659 26386977 79160931 96752249 114343567 290256747 343030701 870770241 1029092103 1257779237 3773337711 11320013133