Search a number
-
+
12333331001 is a prime number
BaseRepresentation
bin10110111110001111…
…11011001000111001
31011211112100010112002
423133013323020321
5200224313043001
65355454030345
7614426404145
oct133707731071
934745303462
1012333331001
115259931142
1224824a83b5
1312172327c4
1484ddca225
154c2b6546b
hex2df1fb239

12333331001 has 2 divisors, whose sum is σ = 12333331002. Its totient is φ = 12333331000.

The previous prime is 12333330979. The next prime is 12333331013. The reversal of 12333331001 is 10013333321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11902810000 + 430521001 = 109100^2 + 20749^2 .

It is a cyclic number.

It is not a de Polignac number, because 12333331001 - 26 = 12333330937 is a prime.

It is a super-2 number, since 2×123333310012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12333331051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6166665500 + 6166665501.

It is an arithmetic number, because the mean of its divisors is an integer number (6166665501).

Almost surely, 212333331001 is an apocalyptic number.

It is an amenable number.

12333331001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12333331001 is an equidigital number, since it uses as much as digits as its factorization.

12333331001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 12333331001 its reverse (10013333321), we get a palindrome (22346664322).

The spelling of 12333331001 in words is "twelve billion, three hundred thirty-three million, three hundred thirty-one thousand, one".