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1002012011009 is a prime number
BaseRepresentation
bin11101001010011001001…
…00011110101000000001
310112210100221101011201022
432211030210132220001
5112404110033323014
62044152402515225
7132251535364232
oct16451444365001
93483327334638
101002012011009
11356a50726609
12142243965b15
1373649089bb9
14366d774b089
151b0e81eca8e
hexe94c91ea01

1002012011009 has 2 divisors, whose sum is σ = 1002012011010. Its totient is φ = 1002012011008.

The previous prime is 1002012010999. The next prime is 1002012011029. The reversal of 1002012011009 is 9001102102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 916691353600 + 85320657409 = 957440^2 + 292097^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002012011009 - 224 = 1001995233793 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002012011029) 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, 501006005504 + 501006005505.

It is an arithmetic number, because the mean of its divisors is an integer number (501006005505).

Almost surely, 21002012011009 is an apocalyptic number.

It is an amenable number.

1002012011009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002012011009 is an equidigital number, since it uses as much as digits as its factorization.

1002012011009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 1002012011009 in words is "one trillion, two billion, twelve million, eleven thousand, nine".