Search a number
-
+
31212224512033 is a prime number
BaseRepresentation
bin1110001100011001010011…
…00011100000000000100001
311002111212012120222102102111
413012030221203200000201
513042340113433341113
6150214410433315321
76401003006624065
oct706145143400041
9132455176872374
1031212224512033
119a44037043a54
12360117aa05b41
1314553b9548b16
1479c973255aa5
15391d7ccd213d
hex1c63298e0021

31212224512033 has 2 divisors, whose sum is σ = 31212224512034. Its totient is φ = 31212224512032.

The previous prime is 31212224511959. The next prime is 31212224512037. The reversal of 31212224512033 is 33021542221213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19169186897169 + 12043037614864 = 4378263^2 + 3470308^2 .

It is a cyclic number.

It is not a de Polignac number, because 31212224512033 - 213 = 31212224503841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31212224511986 and 31212224512004.

It is not a weakly prime, because it can be changed into another prime (31212224512037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15606112256016 + 15606112256017.

It is an arithmetic number, because the mean of its divisors is an integer number (15606112256017).

Almost surely, 231212224512033 is an apocalyptic number.

It is an amenable number.

31212224512033 is a deficient number, since it is larger than the sum of its proper divisors (1).

31212224512033 is an equidigital number, since it uses as much as digits as its factorization.

31212224512033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 31212224512033 its reverse (33021542221213), we get a palindrome (64233766733246).

The spelling of 31212224512033 in words is "thirty-one trillion, two hundred twelve billion, two hundred twenty-four million, five hundred twelve thousand, thirty-three".