Is 33220013 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 33 220 013 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 33 220 013, the only two divisors are 1 and 33 220 013. Therefore 33 220 013 is a prime number.
As a consequence, 33 220 013 is only a multiple of 1 and 33 220 013.
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Since 33220013 is a prime number, 33220013 is also a deficient number, that is to say 33220013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 33220013 without 33220013 itself (that is 1, by definition!).