Is 2011 a prime number? What are the divisors of 2011?

Is 2011 a prime number?

Yes, 2011 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 2011, the only two divisors are 1 and 2011. Therefore 2011 is a prime number.

As a consequence, 2011 is only a multiple of 1 and 2011.

Therefore year 2011 was a prime year.

Since 2011 is a prime number, 2011 is also a deficient number, that is to say 2011 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2011 without 2011 itself (that is 1, by definition!).

Parity of 2011

2011 is an odd number, because it is not evenly divisible by 2.

Is 2011 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 2011 is about 44.844.

Thus, the square root of 2011 is not an integer, and therefore 2011 is not a square number.

Anyway, 2011 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 2011?

The square of a number (here 2011) is the result of the product of this number (2011) by itself (i.e., 2011 × 2011); the square of 2011 is sometimes called "raising 2011 to the power 2", or "2011 squared".

The square of 2011 is 4 044 121 because 2011 × 2011 = 20112 = 4 044 121.

As a consequence, 2011 is the square root of 4 044 121.

Number of digits of 2011

2011 is a number with 4 digits.

What are the multiples of 2011?

The multiples of 2011 are all integers evenly divisible by 2011, that is all numbers such that the remainder of the division by 2011 is zero. There are infinitely many multiples of 2011. The smallest multiples of 2011 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2011 too, since 0 × 2011 = 0
  • 2011: indeed, 2011 is a multiple of itself, since 2011 is evenly divisible by 2011 (we have 2011 / 2011 = 1, so the remainder of this division is indeed zero)
  • 4 022: indeed, 4 022 = 2011 × 2
  • 6 033: indeed, 6 033 = 2011 × 3
  • 8 044: indeed, 8 044 = 2011 × 4
  • 10 055: indeed, 10 055 = 2011 × 5
  • etc.

Numbers near 2011

Nearest numbers from 2011

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