Base | Representation |
---|---|
bin | 100001011110001… |
… | …1010001001100000 |
3 | 2220021101000110111 |
4 | 1002330122021200 |
5 | 4300010211000 |
6 | 303240341104 |
7 | 36555315214 |
oct | 10274321140 |
9 | 2807330414 |
10 | 1123132000 |
11 | 526a84771 |
12 | 274174794 |
13 | 14b8bc863 |
14 | a9240944 |
15 | 68904cba |
hex | 42f1a260 |
1123132000 has 96 divisors (see below), whose sum is σ = 2805382944. Its totient is φ = 441792000.
The previous prime is 1123131959. The next prime is 1123132001. The reversal of 1123132000 is 2313211.
It is a super-2 number, since 2×11231320002 = 2522850978848000000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1123132001) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241699 + ... + 246301.
It is an arithmetic number, because the mean of its divisors is an integer number (29222739).
Almost surely, 21123132000 is an apocalyptic number.
1123132000 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 1123132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402691472).
1123132000 is an abundant number, since it is smaller than the sum of its proper divisors (1682250944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1123132000 is an equidigital number, since it uses as much as digits as its factorization.
1123132000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4689 (or 4671 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 13.
The square root of 1123132000 is about 33513.1615936187. The cubic root of 1123132000 is about 1039.4659486855.
Adding to 1123132000 its reverse (2313211), we get a palindrome (1125445211).
The spelling of 1123132000 in words is "one billion, one hundred twenty-three million, one hundred thirty-two thousand".
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