Search a number
-
+
4133133317 is a prime number
BaseRepresentation
bin1111011001011010…
…1001110000000101
3101200001012221000202
43312112221300011
531431040231232
61522043220245
7204265024235
oct36626516005
911601187022
104133133317
111831056265
12974217685
1350b396421
142b2ccbcc5
15192cc2162
hexf65a9c05

4133133317 has 2 divisors, whose sum is σ = 4133133318. Its totient is φ = 4133133316.

The previous prime is 4133133299. The next prime is 4133133337. The reversal of 4133133317 is 7133313314.

4133133317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4094208196 + 38925121 = 63986^2 + 6239^2 .

It is a cyclic number.

It is not a de Polignac number, because 4133133317 - 216 = 4133067781 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4133133317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4133133337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2066566658 + 2066566659.

It is an arithmetic number, because the mean of its divisors is an integer number (2066566659).

Almost surely, 24133133317 is an apocalyptic number.

It is an amenable number.

4133133317 is a deficient number, since it is larger than the sum of its proper divisors (1).

4133133317 is an equidigital number, since it uses as much as digits as its factorization.

4133133317 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6804, while the sum is 29.

The square root of 4133133317 is about 64289.4494998985. The cubic root of 4133133317 is about 1604.8205292930.

The spelling of 4133133317 in words is "four billion, one hundred thirty-three million, one hundred thirty-three thousand, three hundred seventeen".