Search a number
-
+
31233224249 is a prime number
BaseRepresentation
bin11101000101101001…
…010010111000111001
32222121200211012000022
4131011221102320321
51002431201133444
622203124220225
72153663011553
oct350551227071
988550735008
1031233224249
1112278382727
126077b3a675
132c39a1cca6
1417241464d3
15c2c0289ee
hex745a52e39

31233224249 has 2 divisors, whose sum is σ = 31233224250. Its totient is φ = 31233224248.

The previous prime is 31233224213. The next prime is 31233224287. The reversal of 31233224249 is 94242233213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27920070649 + 3313153600 = 167093^2 + 57560^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31233224249 is a prime.

It is a super-3 number, since 3×312332242493 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (31233224549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15616612124 + 15616612125.

It is an arithmetic number, because the mean of its divisors is an integer number (15616612125).

Almost surely, 231233224249 is an apocalyptic number.

It is an amenable number.

31233224249 is a deficient number, since it is larger than the sum of its proper divisors (1).

31233224249 is an equidigital number, since it uses as much as digits as its factorization.

31233224249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 62208, while the sum is 35.

The spelling of 31233224249 in words is "thirty-one billion, two hundred thirty-three million, two hundred twenty-four thousand, two hundred forty-nine".