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2133405133 is a prime number
BaseRepresentation
bin111111100101001…
…0010110111001101
312111200101012122221
41333022102313031
513332122431013
6551410135341
7103603434016
oct17712226715
95450335587
102133405133
119a5284942
124b6581551
1327ccb5a02
141634a400d
15c746508d
hex7f292dcd

2133405133 has 2 divisors, whose sum is σ = 2133405134. Its totient is φ = 2133405132.

The previous prime is 2133405119. The next prime is 2133405137. The reversal of 2133405133 is 3315043312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2062794724 + 70610409 = 45418^2 + 8403^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133405133 - 29 = 2133404621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2133405098 and 2133405107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2133405137) 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, 1066702566 + 1066702567.

It is an arithmetic number, because the mean of its divisors is an integer number (1066702567).

Almost surely, 22133405133 is an apocalyptic number.

It is an amenable number.

2133405133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133405133 is an equidigital number, since it uses as much as digits as its factorization.

2133405133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 2133405133 is about 46188.7987828218. The cubic root of 2133405133 is about 1287.3336213572. Note that the first 3 decimals are identical.

Adding to 2133405133 its reverse (3315043312), we get a palindrome (5448448445).

The spelling of 2133405133 in words is "two billion, one hundred thirty-three million, four hundred five thousand, one hundred thirty-three".