100111001

100111001 is a binary numeral of nine bits. In base-2, each position corresponds to a power of two, with the leftmost bit representing 2^8 and the rightmost representing 2^0. The value of 100111001 in decimal is 313, calculated as 256 + 0 + 0 + 32 + 16 + 8 + 0 + 0 + 1.

It is a palindromic binary string, reading the same forwards and backwards: 100111001. The nine-bit length and symmetry make it an example of a binary palindrome. Its hexadecimal representation is 0x139.

313 is a prime number, meaning it has no positive divisors other than 1 and itself. As a result, 100111001 encodes a prime when interpreted as a binary integer.

In practical terms, 100111001 is primarily of interest in areas such as digital design, tests for pattern recognition, and recreational mathematics. Binary palindromes are used to evaluate algorithms that manipulate bit sequences, check symmetry properties in hardware, or generate challenging test patterns. The number also serves as a compact example in studies of binary-to-decimal conversion and base-2 arithmetic.