Base | Representation |
---|---|
bin | 11000010000011110… |
… | …10101110010110000 |
3 | 1020121121100010000001 |
4 | 30020033111302300 |
5 | 203132411003130 |
6 | 5552135035344 |
7 | 640503605140 |
oct | 141017256260 |
9 | 36547303001 |
10 | 13023141040 |
11 | 5583250688 |
12 | 263550bb54 |
13 | 12c7114a20 |
14 | 8b7870920 |
15 | 5134c36ca |
hex | 3083d5cb0 |
13023141040 has 160 divisors (see below), whose sum is σ = 39458724480. Its totient is φ = 3879124992.
The previous prime is 13023141037. The next prime is 13023141059. The reversal of 13023141040 is 4014132031.
It is a junction number, because it is equal to n+sod(n) for n = 13023140999 and 13023141017.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71146 + ... + 176374.
It is an arithmetic number, because the mean of its divisors is an integer number (246617028).
Almost surely, 213023141040 is an apocalyptic number.
13023141040 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 13023141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19729362240).
13023141040 is an abundant number, since it is smaller than the sum of its proper divisors (26435583440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13023141040 is a wasteful number, since it uses less digits than its factorization.
13023141040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 105279 (or 105273 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 19.
Adding to 13023141040 its reverse (4014132031), we get a palindrome (17037273071).
Subtracting from 13023141040 its reverse (4014132031), we obtain a palindrome (9009009009).
The spelling of 13023141040 in words is "thirteen billion, twenty-three million, one hundred forty-one thousand, forty".
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