Base | Representation |
---|---|
bin | 10111001010001011… |
… | …10110110010101000 |
3 | 1012002111201210222122 |
4 | 23211011312302220 |
5 | 200430430432300 |
6 | 5413432010412 |
7 | 620053412531 |
oct | 134505666250 |
9 | 35074653878 |
10 | 12433452200 |
11 | 53003a5734 |
12 | 24abb30a08 |
13 | 1231bb9510 |
14 | 85d40d688 |
15 | 4cb840c85 |
hex | 2e5176ca8 |
12433452200 has 48 divisors (see below), whose sum is σ = 31131457980. Its totient is φ = 4590812160.
The previous prime is 12433452169. The next prime is 12433452203. The reversal of 12433452200 is 225433421.
12433452200 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 6 ways, for example, as 2692156996 + 9741295204 = 51886^2 + 98698^2 .
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a self number, because there is not a number n which added to its sum of digits gives 12433452200.
It is not an unprimeable number, because it can be changed into a prime (12433452203) 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 11 ways as a sum of consecutive naturals, for example, 2388449 + ... + 2393648.
Almost surely, 212433452200 is an apocalyptic number.
12433452200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
12433452200 is an abundant number, since it is smaller than the sum of its proper divisors (18698005780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12433452200 is a wasteful number, since it uses less digits than its factorization.
12433452200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4782126 (or 4782117 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 26.
Adding to 12433452200 its reverse (225433421), we get a palindrome (12658885621).
The spelling of 12433452200 in words is "twelve billion, four hundred thirty-three million, four hundred fifty-two thousand, two hundred".
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