Is 33003011 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 33 003 011 is a prime number.
Indeed, the definition of a prime numbers is to have exactly 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 33 003 011, the only two divisors are 1 and 33 003 011. Therefore 33 003 011 is a prime number.
As a consequence, 33 003 011 is only a multiple of 1 and 33 003 011.
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Since 33003011 is a prime number, 33003011 is also a deficient number, that is to say 33003011 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 33003011 without 33003011 itself (that is 1, by definition!).