Base | Representation |
---|---|
bin | 100001100000011… |
… | …1110101000010000 |
3 | 2220100121212210212 |
4 | 1003000332220100 |
5 | 4300312030000 |
6 | 303322143252 |
7 | 36601435013 |
oct | 10300765020 |
9 | 2810555725 |
10 | 1124330000 |
11 | 527722852 |
12 | 274651b28 |
13 | 14bc1bc31 |
14 | a947337a |
15 | 68a8ec35 |
hex | 4303ea10 |
1124330000 has 100 divisors (see below), whose sum is σ = 2816707740. Its totient is φ = 434112000.
The previous prime is 1124329993. The next prime is 1124330017. The reversal of 1124330000 is 334211.
It can be written as a sum of positive squares in 10 ways, for example, as 965469184 + 158860816 = 31072^2 + 12604^2 .
It is a tau number, because it is divible by the number of its divisors (100).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 288062 + ... + 291938.
Almost surely, 21124330000 is an apocalyptic number.
1124330000 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 1124330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408353870).
1124330000 is an abundant number, since it is smaller than the sum of its proper divisors (1692377740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1124330000 is an equidigital number, since it uses as much as digits as its factorization.
1124330000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3934 (or 3913 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 1124330000 is about 33531.0304046863. The cubic root of 1124330000 is about 1039.8354029453.
Adding to 1124330000 its reverse (334211), we get a palindrome (1124664211).
The spelling of 1124330000 in words is "one billion, one hundred twenty-four million, three hundred thirty thousand".
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