Is 138802129 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 138 802 129 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 138 802 129, the only two divisors are 1 and 138 802 129. Therefore 138 802 129 is a prime number.
As a consequence, 138 802 129 is only a multiple of 1 and 138 802 129.
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Since 138802129 is a prime number, 138802129 is also a deficient number, that is to say 138802129 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 138802129 without 138802129 itself (that is 1, by definition!).
