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1000201009 is a prime number
BaseRepresentation
bin111011100111011…
…101101100110001
32120201001110211211
4323213131230301
54022022413014
6243125440121
733533365633
oct7347355461
92521043754
101000201009
11473650905
1223ab70041
1312c2aa822
1496ba0a53
155cc20cc4
hex3b9ddb31

1000201009 has 2 divisors, whose sum is σ = 1000201010. Its totient is φ = 1000201008.

The previous prime is 1000201003. The next prime is 1000201043. The reversal of 1000201009 is 9001020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 967023409 + 33177600 = 31097^2 + 5760^2 .

It is an emirp because it is prime and its reverse (9001020001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000201009 - 29 = 1000200497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000201009.

It is not a weakly prime, because it can be changed into another prime (1000201003) 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, 500100504 + 500100505.

It is an arithmetic number, because the mean of its divisors is an integer number (500100505).

Almost surely, 21000201009 is an apocalyptic number.

It is an amenable number.

1000201009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000201009 is an equidigital number, since it uses as much as digits as its factorization.

1000201009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1000201009 is about 31625.9546733375. The cubic root of 1000201009 is about 1000.0669985111.

The spelling of 1000201009 in words is "one billion, two hundred one thousand, nine".