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1005000109 is a prime number
BaseRepresentation
bin111011111001110…
…001010110101101
32121001002021222021
4323321301112231
54024240000414
6243420350141
733622234321
oct7371612655
92531067867
101005000109
11476329503
122406a5351
1313029b029
149768d981
155d36cc24
hex3be715ad

1005000109 has 2 divisors, whose sum is σ = 1005000110. Its totient is φ = 1005000108.

The previous prime is 1005000103. The next prime is 1005000127. The reversal of 1005000109 is 9010005001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 968578884 + 36421225 = 31122^2 + 6035^2 .

It is an emirp because it is prime and its reverse (9010005001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005000109 - 217 = 1004869037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005000092 and 1005000101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502500054 + 502500055.

It is an arithmetic number, because the mean of its divisors is an integer number (502500055).

Almost surely, 21005000109 is an apocalyptic number.

It is an amenable number.

1005000109 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005000109 is an equidigital number, since it uses as much as digits as its factorization.

1005000109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 1005000109 is about 31701.7366874435. The cubic root of 1005000109 is about 1001.6639327920.

The spelling of 1005000109 in words is "one billion, five million, one hundred nine", and thus it is an aban number.