20002001

20002001 is the eight-digit decimal numeral representing the integer 20,002,001. It can be read as a single number or understood as the concatenation of the four-digit numbers 2000 and 2001, illustrating a simple case of decimal digit concatenation.

In mathematical discussions, 20002001 is often used as an example of how concatenation of integers differs from standard arithmetic operations such as addition or multiplication. When the decimal representations are juxtaposed, the result is not a function of the values being added or multiplied, but rather a new number formed by placing one block of digits directly after another.

Numerical properties: 20002001 is odd, so it is not divisible by 2. The sum of its digits is 5, so it is not divisible by 3. The divisibility test for 11 yields a nonzero remainder, indicating it is not divisible by 11. It is not divisible by 5 due to the final digit being 1. The full prime factorization of 20002001 is not immediately evident from basic small-prime tests and would require computation for exact factors.

Uses and context: The form 20002001 may appear in data encoding or identifier schemes where year pairs or consecutive years are encoded in a compact, fixed-width format. It also serves as a simple example in classrooms and problem sets to illustrate the concept of concatenating decimal blocks and how such numbers differ from those obtained by ordinary arithmetic.

See also: concatenation of integers, base-10 numeral representation.