32×1011

32×1011 is the product of the integers 32 and 1011 in base-10 arithmetic. The calculation yields 32352.

A useful way to understand this result is through factorization. 32 equals 2^5, and 1011 equals 3 × 337, where 337 is a prime number. Therefore the product can be written as 2^5 × 3 × 337, and the prime factorization of 32352 is 2^5 × 3 × 337.

Properties of the product include that it is even (since 32 is even) and divisible by 3 (since 1011 is divisible by 3). It is not divisible by 9, as the sum of digits of 32352 is 3+2+3+5+2 = 15, and 15 is not a multiple of 9.

In binary, 1011 decimal is 1111110011_2. Multiplying by 32 (which is 2^5) shifts left by five bits, giving 1111110011 00000_2, i.e., 32352 in binary is 111111001100000.

Contextually, 32352 is a relatively small integer well within the range of 16-bit unsigned integers. The multiplication example illustrates how factoring each component can reveal the product’s structure and divisibility properties.