Base | Representation |
---|---|
bin | 11000110010110010… |
… | …11100000110111100 |
3 | 1021100122222220122210 |
4 | 30121121130012330 |
5 | 204230104013040 |
6 | 10040500540420 |
7 | 650600433102 |
oct | 143131340674 |
9 | 37318886583 |
10 | 13311001020 |
11 | 5710793099 |
12 | 26b59b1710 |
13 | 1341951b85 |
14 | 903ba3c72 |
15 | 52d8d5480 |
hex | 31965c1bc |
13311001020 has 96 divisors (see below), whose sum is σ = 39518841600. Its totient is φ = 3336090624.
The previous prime is 13311001007. The next prime is 13311001021. The reversal of 13311001020 is 2010011331.
13311001020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 13311000987 and 13311001005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13311001021) 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 31 ways as a sum of consecutive naturals, for example, 744951 + ... + 762609.
It is an arithmetic number, because the mean of its divisors is an integer number (411654600).
Almost surely, 213311001020 is an apocalyptic number.
13311001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13311001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19759420800).
13311001020 is an abundant number, since it is smaller than the sum of its proper divisors (26207840580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13311001020 is a wasteful number, since it uses less digits than its factorization.
13311001020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18427 (or 18425 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 12.
Adding to 13311001020 its reverse (2010011331), we get a palindrome (15321012351).
The spelling of 13311001020 in words is "thirteen billion, three hundred eleven million, one thousand, twenty".
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