Search a number
-
+
290920090009 is a prime number
BaseRepresentation
bin1000011101111000011…
…00000100100110011001
31000210220201110210211111
410032330030010212121
514231301020340014
6341351415100321
730006161651503
oct4167414044631
91023821423744
10290920090009
1110241889655a
12484706716a1
13215839501c3
141011b288d73
15787a49a2c4
hex43bc304999

290920090009 has 2 divisors, whose sum is σ = 290920090010. Its totient is φ = 290920090008.

The previous prime is 290920089917. The next prime is 290920090039. The reversal of 290920090009 is 900090029092.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 280479337609 + 10440752400 = 529603^2 + 102180^2 .

It is a cyclic number.

It is not a de Polignac number, because 290920090009 - 219 = 290919565721 is a prime.

It is a super-3 number, since 3×2909200900093 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (290920090039) 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, 145460045004 + 145460045005.

It is an arithmetic number, because the mean of its divisors is an integer number (145460045005).

Almost surely, 2290920090009 is an apocalyptic number.

It is an amenable number.

290920090009 is a deficient number, since it is larger than the sum of its proper divisors (1).

290920090009 is an equidigital number, since it uses as much as digits as its factorization.

290920090009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 40.

The spelling of 290920090009 in words is "two hundred ninety billion, nine hundred twenty million, ninety thousand, nine".