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4133104013 is a prime number
BaseRepresentation
bin1111011001011010…
…0010100110001101
3101200001011102211102
43312112202212031
531431033312023
61522042432445
7204264542633
oct36626424615
911601142742
104133104013
111831036245
12974202725
1350b385c9c
142b2cc1353
15192cb8628
hexf65a298d

4133104013 has 2 divisors, whose sum is σ = 4133104014. Its totient is φ = 4133104012.

The previous prime is 4133104009. The next prime is 4133104021. The reversal of 4133104013 is 3104013314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2460457609 + 1672646404 = 49603^2 + 40898^2 .

It is a cyclic number.

It is not a de Polignac number, because 4133104013 - 22 = 4133104009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4133404013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2066552006 + 2066552007.

It is an arithmetic number, because the mean of its divisors is an integer number (2066552007).

Almost surely, 24133104013 is an apocalyptic number.

It is an amenable number.

4133104013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4133104013 is an equidigital number, since it uses as much as digits as its factorization.

4133104013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 4133104013 is about 64289.2215927367. The cubic root of 4133104013 is about 1604.8167365472.

Adding to 4133104013 its reverse (3104013314), we get a palindrome (7237117327).

The spelling of 4133104013 in words is "four billion, one hundred thirty-three million, one hundred four thousand, thirteen".