Search a number
-
+
4113104441 is a prime number
BaseRepresentation
bin1111010100101000…
…1111111000111001
3101121122112100120112
43311022033320321
531410423320231
61520050034105
7203632545065
oct36512177071
911548470515
104113104441
111820816276
12969578935
135071a2b14
142b0396aa5
1519116792b
hexf528fe39

4113104441 has 2 divisors, whose sum is σ = 4113104442. Its totient is φ = 4113104440.

The previous prime is 4113104417. The next prime is 4113104447. The reversal of 4113104441 is 1444013114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3556333225 + 556771216 = 59635^2 + 23596^2 .

It is a cyclic number.

It is not a de Polignac number, because 4113104441 - 26 = 4113104377 is a prime.

It is a super-3 number, since 3×41131044413 (a number of 30 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4113104447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2056552220 + 2056552221.

It is an arithmetic number, because the mean of its divisors is an integer number (2056552221).

It is a self-describing number.

Almost surely, 24113104441 is an apocalyptic number.

It is an amenable number.

4113104441 is a deficient number, since it is larger than the sum of its proper divisors (1).

4113104441 is an equidigital number, since it uses as much as digits as its factorization.

4113104441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4113104441 is about 64133.4892314460. The cubic root of 4113104441 is about 1602.2240478298.

Adding to 4113104441 its reverse (1444013114), we get a palindrome (5557117555).

The spelling of 4113104441 in words is "four billion, one hundred thirteen million, one hundred four thousand, four hundred forty-one".