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7813000003 is a prime number
BaseRepresentation
bin1110100011011000…
…01110101101000011
3202011111112112010111
413101230032231003
5112000112000003
63331135412151
7364420255444
oct72154165503
922144475114
107813000003
11334a2645a6
121620684057
1397688b033
1454190b2cb
1530adace6d
hex1d1b0eb43

7813000003 has 2 divisors, whose sum is σ = 7813000004. Its totient is φ = 7813000002.

The previous prime is 7813000001. The next prime is 7813000033. The reversal of 7813000003 is 3000003187.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 7813000003 - 21 = 7813000001 is a prime.

It is a super-2 number, since 2×78130000032 (a number of 21 digits) contains 22 as substring.

Together with 7813000001, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (7813000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3906500001 + 3906500002.

It is an arithmetic number, because the mean of its divisors is an integer number (3906500002).

Almost surely, 27813000003 is an apocalyptic number.

7813000003 is a deficient number, since it is larger than the sum of its proper divisors (1).

7813000003 is an equidigital number, since it uses as much as digits as its factorization.

7813000003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 7813000003 is about 88391.1760471598. The cubic root of 7813000003 is about 1984.2936450059.

The spelling of 7813000003 in words is "seven billion, eight hundred thirteen million, three", and thus it is an aban number.