1010000010001

1010000010001 is a binary numeral consisting of thirteen digits. In programming and digital contexts it is commonly written as a base-2 representation, sometimes prefixed with 0b to indicate binary.

In decimal, the value of 1010000010001 is 5137. This is obtained by summing the powers of two corresponding to the positions of the ones in the string: 2^12 + 2^10 + 2^8? Wait, correct breakdown: the ones occur at bit positions 12, 10, 4, and 0, giving 4096 + 1024 + 16 + 1 = 5137. The binary form thus encodes the decimal 5137.

The binary string has a length of 13 bits and contains four ones in total. The most significant and least significant bits are 1, and there are five zeros between the third and ninth bit, reflecting its uneven distribution of ones.

Mathematically, 5137 factors as 11 × 467, where 11 and 467 are both prime. Therefore the number is composite.

In hexadecimal, 1010000010001 corresponds to 0x1411, since 5137 = 0x1411. This mirrors the binary pattern when grouped into four-bit chunks and converted from binary to hex.

As a standalone binary pattern, 1010000010001 has no widely recognized special meaning beyond its numeric value. It may appear as a simple bit mask or identifier in specific computational contexts, but it does not designate a known constant or widely cited code. See also binary numeral system and hexadecimal notation for related representations.