Is 20132009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 20 132 009 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 20 132 009, the only two divisors are 1 and 20 132 009. Therefore 20 132 009 is a prime number.
As a consequence, 20 132 009 is only a multiple of 1 and 20 132 009.
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Since 20132009 is a prime number, 20132009 is also a deficient number, that is to say 20132009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 20132009 without 20132009 itself (that is 1, by definition!).