Search a number
-
+
3113011441 is a prime number
BaseRepresentation
bin1011100110001100…
…1100100011110001
322000221200100220001
42321203030203301
522333412331231
61232522350001
7140100106051
oct27143144361
98027610801
103113011441
111358239631
1272a65b301
133a7c32507
14217623561
15133468b61
hexb98cc8f1

3113011441 has 2 divisors, whose sum is σ = 3113011442. Its totient is φ = 3113011440.

The previous prime is 3113011403. The next prime is 3113011463. The reversal of 3113011441 is 1441103113.

3113011441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3105721441 + 7290000 = 55729^2 + 2700^2 .

It is an emirp because it is prime and its reverse (1441103113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3113011441 - 217 = 3112880369 is a prime.

It is not a weakly prime, because it can be changed into another prime (3113011481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1556505720 + 1556505721.

It is an arithmetic number, because the mean of its divisors is an integer number (1556505721).

Almost surely, 23113011441 is an apocalyptic number.

It is an amenable number.

3113011441 is a deficient number, since it is larger than the sum of its proper divisors (1).

3113011441 is an equidigital number, since it uses as much as digits as its factorization.

3113011441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 3113011441 is about 55794.3674666180. The cubic root of 3113011441 is about 1460.1368860521.

Adding to 3113011441 its reverse (1441103113), we get a palindrome (4554114554).

The spelling of 3113011441 in words is "three billion, one hundred thirteen million, eleven thousand, four hundred forty-one".