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1005000091 is a prime number
BaseRepresentation
bin111011111001110…
…001010110011011
32121001002021221121
4323321301112123
54024240000331
6243420350111
733622234264
oct7371612633
92531067847
101005000091
11476329497
122406a5337
1313029b014
149768d96b
155d36cc11
hex3be7159b

1005000091 has 2 divisors, whose sum is σ = 1005000092. Its totient is φ = 1005000090.

The previous prime is 1005000089. The next prime is 1005000103. The reversal of 1005000091 is 1900005001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1005000091 - 21 = 1005000089 is a prime.

Together with 1005000089, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1005000391) 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, 502500045 + 502500046.

It is an arithmetic number, because the mean of its divisors is an integer number (502500046).

Almost surely, 21005000091 is an apocalyptic number.

1005000091 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005000091 is an equidigital number, since it uses as much as digits as its factorization.

1005000091 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 1005000091 is about 31701.7364035474. The cubic root of 1005000091 is about 1001.6639268120.

Adding to 1005000091 its reverse (1900005001), we get a palindrome (2905005092).

The spelling of 1005000091 in words is "one billion, five million, ninety-one", and thus it is an aban number and an uban number.