30000000002

30000000002 is the decimal representation of the integer 30,000,000,002. It is an even number and therefore composite. Its prime factorization begins with 2 × 15,000,000,001.

A quick check shows that 15,000,000,001 is divisible by 7, since 15,000,000,001 ≡ 0 (mod 7). Dividing by 7 yields 2,142,857,143. Thus the full factorization is 30,000,000,002 = 2 × 7 × 2,142,857,143, or equivalently 14 × 2,142,857,143. The cofactor 2,142,857,143 is odd and not divisible by 3 or 5, and may have additional prime factors not immediately evident from small primes.

In terms of size and representation, the number has 11 decimal digits and requires 35 bits in binary, since it lies between 2^34 (approximately 17.18 billion) and 2^35 (approximately 34.36 billion).

Context and usage: 30000000002 is primarily encountered as a large even integer in mathematical discussions of factorization, number representations, and algorithmic testing. It does not have a widely recognized special significance beyond its basic arithmetic properties. See also lists of composite numbers and discussions of prime factorization for related topics.