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10083109 is a prime number
BaseRepresentation
bin100110011101…
…101100100101
3200222021102111
4212131230211
510040124414
61000041021
7151463551
oct46355445
920867374
1010083109
115767653
123463171
13212064a
1414a6861
15d428c4
hex99db25

10083109 has 2 divisors, whose sum is σ = 10083110. Its totient is φ = 10083108.

The previous prime is 10083107. The next prime is 10083137. The reversal of 10083109 is 90138001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9132484 + 950625 = 3022^2 + 975^2 .

It is a cyclic number.

It is not a de Polignac number, because 10083109 - 21 = 10083107 is a prime.

Together with 10083107, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10083109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10083107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5041554 + 5041555.

It is an arithmetic number, because the mean of its divisors is an integer number (5041555).

Almost surely, 210083109 is an apocalyptic number.

It is an amenable number.

10083109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10083109 is an equidigital number, since it uses as much as digits as its factorization.

10083109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 10083109 is about 3175.3911570073. The cubic root of 10083109 is about 216.0386662032.

The spelling of 10083109 in words is "ten million, eighty-three thousand, one hundred nine".