Base | Representation |
---|---|
bin | 11000011101011110… |
… | …00110111010100000 |
3 | 1020220012102102111021 |
4 | 30032233012322200 |
5 | 203343311211000 |
6 | 10011031055224 |
7 | 643266165061 |
oct | 141657067240 |
9 | 36805372437 |
10 | 13132132000 |
11 | 5629823159 |
12 | 2665b11514 |
13 | 1313885a10 |
14 | 8c8122568 |
15 | 51cd5211a |
hex | 30ebc6ea0 |
13132132000 has 96 divisors (see below), whose sum is σ = 34747758864. Its totient is φ = 4848768000.
The previous prime is 13132131977. The next prime is 13132132061. The reversal of 13132132000 is 23123131.
13132132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 1453439376 + 11678692624 = 38124^2 + 108068^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
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 15 ways as a sum of consecutive naturals, for example, 74271 + ... + 178270.
Almost surely, 213132132000 is an apocalyptic number.
13132132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
13132132000 is an abundant number, since it is smaller than the sum of its proper divisors (21615626864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13132132000 is a wasteful number, since it uses less digits than its factorization.
13132132000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 252579 (or 252561 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 16.
Adding to 13132132000 its reverse (23123131), we get a palindrome (13155255131).
The spelling of 13132132000 in words is "thirteen billion, one hundred thirty-two million, one hundred thirty-two thousand".
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