Is 83199013 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 83 199 013 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 83 199 013, the only two divisors are 1 and 83 199 013. Therefore 83 199 013 is a prime number.
As a consequence, 83 199 013 is only a multiple of 1 and 83 199 013.
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Since 83199013 is a prime number, 83199013 is also a deficient number, that is to say 83199013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 83199013 without 83199013 itself (that is 1, by definition!).