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2133303313 is a prime number
BaseRepresentation
bin111111100100111…
…1010000000010001
312111200012000222211
41333021322000101
513332111201223
6551404032121
7103602531121
oct17711720021
95450160884
102133303313
119a5215399
124b6532641
1327cc7b56b
14163478c81
15c7444d0d
hex7f27a011

2133303313 has 2 divisors, whose sum is σ = 2133303314. Its totient is φ = 2133303312.

The previous prime is 2133303301. The next prime is 2133303323. The reversal of 2133303313 is 3133033312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2004979729 + 128323584 = 44777^2 + 11328^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133303313 - 217 = 2133172241 is a prime.

It is not a weakly prime, because it can be changed into another prime (2133303323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066651656 + 1066651657.

It is an arithmetic number, because the mean of its divisors is an integer number (1066651657).

Almost surely, 22133303313 is an apocalyptic number.

It is an amenable number.

2133303313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133303313 is an equidigital number, since it uses as much as digits as its factorization.

2133303313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 22.

The square root of 2133303313 is about 46187.6965543856. The cubic root of 2133303313 is about 1287.3131410473.

Adding to 2133303313 its reverse (3133033312), we get a palindrome (5266336625).

The spelling of 2133303313 in words is "two billion, one hundred thirty-three million, three hundred three thousand, three hundred thirteen".