Search a number
-
+
131221030009 is a prime number
BaseRepresentation
bin111101000110101100…
…0100000010001111001
3110112201000111222220111
41322031120200101321
54122220040430014
6140140534024321
712323531231416
oct1721530402171
9415630458814
10131221030009
115071793a043
12215217a80a1
13c4b2b501b4
1464cb71110d
1536301552c4
hex1e8d620479

131221030009 has 2 divisors, whose sum is σ = 131221030010. Its totient is φ = 131221030008.

The previous prime is 131221030001. The next prime is 131221030027. The reversal of 131221030009 is 900030122131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123484068409 + 7736961600 = 351403^2 + 87960^2 .

It is a cyclic number.

It is not a de Polignac number, because 131221030009 - 23 = 131221030001 is a prime.

It is not a weakly prime, because it can be changed into another prime (131221030001) 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, 65610515004 + 65610515005.

It is an arithmetic number, because the mean of its divisors is an integer number (65610515005).

Almost surely, 2131221030009 is an apocalyptic number.

It is an amenable number.

131221030009 is a deficient number, since it is larger than the sum of its proper divisors (1).

131221030009 is an equidigital number, since it uses as much as digits as its factorization.

131221030009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 131221030009 in words is "one hundred thirty-one billion, two hundred twenty-one million, thirty thousand, nine".