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2001293809 is a prime number
BaseRepresentation
bin111011101001001…
…0101000111110001
312011110210020222221
41313102111013301
513044312400214
6530330401041
7100410500554
oct16722250761
95143706887
102001293809
11937750729
1247a290181
1325b80b228
1414db1469b
15baa6ae24
hex774951f1

2001293809 has 2 divisors, whose sum is σ = 2001293810. Its totient is φ = 2001293808.

The previous prime is 2001293803. The next prime is 2001293837. The reversal of 2001293809 is 9083921002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1986663184 + 14630625 = 44572^2 + 3825^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001293809 - 213 = 2001285617 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001293803) 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, 1000646904 + 1000646905.

It is an arithmetic number, because the mean of its divisors is an integer number (1000646905).

Almost surely, 22001293809 is an apocalyptic number.

It is an amenable number.

2001293809 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001293809 is an equidigital number, since it uses as much as digits as its factorization.

2001293809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 2001293809 is about 44735.8224357170. The cubic root of 2001293809 is about 1260.1926741972.

The spelling of 2001293809 in words is "two billion, one million, two hundred ninety-three thousand, eight hundred nine".