10100010002

10100010002 is a binary numeral, where the trailing 2 denotes that the digits preceding it are written in base 2. The binary sequence is 1010001000.

As a decimal value, this binary number equals 648. It can be computed by summing the powers of two corresponding to the set bits: 2^9 + 2^7 + 2^3 = 512 + 128 + 8 = 648. In hexadecimal, the same value is 0x288, since 648 = 0x288 (2 is 0x2, 8 is 0x8, 8 is 0x8).

The prime factorization of 648 is 2^3 × 3^4, or 8 × 81. In binary form, the last three digits are zeros, which means the number is divisible by 8 but not by 16. In decimal terms, the sum of its digits is 18, indicating divisibility by 9 and 3 as well.

In usage, a binary literal such as 10100010002 may appear in discussions of computer science and digital electronics, where a suffix or context indicates that a numeric constant is written in base 2. Different programming languages employ various conventions to represent binary values; some use a 0b prefix (for example, 0b1010001000), while others may rely on suffixes or explicit type declarations. Without additional context, 10100010002 is best understood as a binary representation of the decimal value 648.