Search a number
-
+
4753203313 is a prime number
BaseRepresentation
bin1000110110101000…
…00010000001110001
3110021020222202011011
410123110002001301
534213310001223
62103353350521
7225534363415
oct43324020161
913236882134
104753203313
11201a072001
12b07a08441
135a999b251
143313bad45
151cc45680d
hex11b502071

4753203313 has 2 divisors, whose sum is σ = 4753203314. Its totient is φ = 4753203312.

The previous prime is 4753203283. The next prime is 4753203317. The reversal of 4753203313 is 3133023574.

4753203313 is digitally balanced in base 3, 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., 4621688289 + 131515024 = 67983^2 + 11468^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4753203313 is a prime.

It is not a weakly prime, because it can be changed into another prime (4753203317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2376601656 + 2376601657.

It is an arithmetic number, because the mean of its divisors is an integer number (2376601657).

Almost surely, 24753203313 is an apocalyptic number.

It is an amenable number.

4753203313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4753203313 is an equidigital number, since it uses as much as digits as its factorization.

4753203313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 31.

The square root of 4753203313 is about 68943.4791187680. The cubic root of 4753203313 is about 1681.3654942600.

Adding to 4753203313 its reverse (3133023574), we get a palindrome (7886226887).

The spelling of 4753203313 in words is "four billion, seven hundred fifty-three million, two hundred three thousand, three hundred thirteen".