Search a number
-
+
313244143444241 is a prime number
BaseRepresentation
bin100011100111001001101010…
…1111001011110000100010001
31112002002211212221102010002022
41013032103111321132010101
5312024143001210203431
63030114212314101225
7122660066613336602
oct10716232571360421
91462084787363068
10313244143444241
119089a105797439
122b170991a1a815
13105a2a469c82b9
14574d15151dda9
1526332ebaae07b
hex11ce4d5e5e111

313244143444241 has 2 divisors, whose sum is σ = 313244143444242. Its totient is φ = 313244143444240.

The previous prime is 313244143444163. The next prime is 313244143444261. The reversal of 313244143444241 is 142444341442313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235265901024400 + 77978242419841 = 15338380^2 + 8830529^2 .

It is a cyclic number.

It is not a de Polignac number, because 313244143444241 - 214 = 313244143427857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313244143444192 and 313244143444201.

It is not a weakly prime, because it can be changed into another prime (313244143444261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156622071722120 + 156622071722121.

It is an arithmetic number, because the mean of its divisors is an integer number (156622071722121).

Almost surely, 2313244143444241 is an apocalyptic number.

It is an amenable number.

313244143444241 is a deficient number, since it is larger than the sum of its proper divisors (1).

313244143444241 is an equidigital number, since it uses as much as digits as its factorization.

313244143444241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1769472, while the sum is 44.

Adding to 313244143444241 its reverse (142444341442313), we get a palindrome (455688484886554).

The spelling of 313244143444241 in words is "three hundred thirteen trillion, two hundred forty-four billion, one hundred forty-three million, four hundred forty-four thousand, two hundred forty-one".