What is 1001?

The number 1001 is a natural number that comes after 1000 and before 1002. Here are some interesting facts and properties related to the number 1001:

1. Mathematically Interesting:

   • 1001 is a palindromic number, meaning it reads the same forwards and backwards.
   • It is a Harshad number, as it is divisible by the sum of its digits (1 + 0 + 0 + 1 = 2).
   • It has the prime factorization of (1001 = 7 \times 11 \times 13). This shows it's not a prime number but rather a product of three consecutive prime numbers.

2. Binary and Other Base Representations:

   • In binary, 1001 is represented as (1111101001_2).
   • In hexadecimal, it is represented as (3E9_{16}).

3. Roman Numerals:

   • In Roman numerals, 1001 is represented as MI.

4. Cultural or Miscellaneous Facts:

   • "1001" is often associated with "One Thousand and One Nights," a famous collection of Middle Eastern folk tales.
   • In literature and popular culture, the number sometimes symbolizes myriad stories or endless possibilities, inspired by its association with the tales mentioned above.

These points cover some mathematical, representational, and cultural aspects of the number 1001.