Base | Representation |
---|---|
bin | 11000011101001110… |
… | …11110011010100000 |
3 | 1020220001122202210000 |
4 | 30032213132122200 |
5 | 203342303143404 |
6 | 10010520140000 |
7 | 643243162416 |
oct | 141647363240 |
9 | 36801582700 |
10 | 13130131104 |
11 | 5628686922 |
12 | 2665307600 |
13 | 131333505c |
14 | 8c7b612b6 |
15 | 51caa9339 |
hex | 30e9de6a0 |
13130131104 has 120 divisors (see below), whose sum is σ = 39159777888. Its totient is φ = 4315006080.
The previous prime is 13130131073. The next prime is 13130131121. The reversal of 13130131104 is 40113103131.
13130131104 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 (18).
It is an unprimeable number.
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 19 ways as a sum of consecutive naturals, for example, 148359 + ... + 219705.
Almost surely, 213130131104 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13130131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19579888944).
13130131104 is an abundant number, since it is smaller than the sum of its proper divisors (26029646784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13130131104 is an equidigital number, since it uses as much as digits as its factorization.
13130131104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71440 (or 71423 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 13130131104 its reverse (40113103131), we get a palindrome (53243234235).
The spelling of 13130131104 in words is "thirteen billion, one hundred thirty million, one hundred thirty-one thousand, one hundred four".
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