Search a number
-
+
131011223009 is a prime number
BaseRepresentation
bin111101000000011100…
…0001001110111100001
3110112011101201200210212
41322000320021313201
54121302333114014
6140104041103505
712315403010252
oct1720070116741
9415141650725
10131011223009
115061a468a27
1221483487b95
13c47b541144
1464ab8d8b29
15361ba1023e
hex1e80e09de1

131011223009 has 2 divisors, whose sum is σ = 131011223010. Its totient is φ = 131011223008.

The previous prime is 131011222919. The next prime is 131011223029. The reversal of 131011223009 is 900322110131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127573980625 + 3437242384 = 357175^2 + 58628^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131011223009 is a prime.

It is not a weakly prime, because it can be changed into another prime (131011223029) 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, 65505611504 + 65505611505.

It is an arithmetic number, because the mean of its divisors is an integer number (65505611505).

Almost surely, 2131011223009 is an apocalyptic number.

It is an amenable number.

131011223009 is a deficient number, since it is larger than the sum of its proper divisors (1).

131011223009 is an equidigital number, since it uses as much as digits as its factorization.

131011223009 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 23.

The spelling of 131011223009 in words is "one hundred thirty-one billion, eleven million, two hundred twenty-three thousand, nine".