Search a number
-
+
10131224293 is a prime number
BaseRepresentation
bin10010110111101111…
…00011011011100101
3222011001200112000101
421123313203123211
5131222043134133
64353151144101
7506026662031
oct113367433345
928131615011
1010131224293
1143298a2843
121b68b15031
13c55c44298
146c17611c1
153e467e37d
hex25bde36e5

10131224293 has 2 divisors, whose sum is σ = 10131224294. Its totient is φ = 10131224292.

The previous prime is 10131224221. The next prime is 10131224329. The reversal of 10131224293 is 39242213101.

It is a happy number.

Together with next prime (10131224329) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9955449729 + 175774564 = 99777^2 + 13258^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131224293 - 213 = 10131216101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131224203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065612146 + 5065612147.

It is an arithmetic number, because the mean of its divisors is an integer number (5065612147).

Almost surely, 210131224293 is an apocalyptic number.

It is an amenable number.

10131224293 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131224293 is an equidigital number, since it uses as much as digits as its factorization.

10131224293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 10131224293 its reverse (39242213101), we get a palindrome (49373437394).

The spelling of 10131224293 in words is "ten billion, one hundred thirty-one million, two hundred twenty-four thousand, two hundred ninety-three".