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2133223033 is a prime number
BaseRepresentation
bin111111100100110…
…0110011001111001
312111200000221212111
41333021212121321
513332101114113
6551402212321
7103602045064
oct17711463171
95450027774
102133223033
119a5170047
124b64b40a1
1327cc50b66
141634578db
15c742b13d
hex7f266679

2133223033 has 2 divisors, whose sum is σ = 2133223034. Its totient is φ = 2133223032.

The previous prime is 2133223031. The next prime is 2133223039. The reversal of 2133223033 is 3303223312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1737889344 + 395333689 = 41688^2 + 19883^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133223033 - 21 = 2133223031 is a prime.

Together with 2133223031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2133222995 and 2133223013.

It is not a weakly prime, because it can be changed into another prime (2133223031) 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, 1066611516 + 1066611517.

It is an arithmetic number, because the mean of its divisors is an integer number (1066611517).

Almost surely, 22133223033 is an apocalyptic number.

It is an amenable number.

2133223033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133223033 is an equidigital number, since it uses as much as digits as its factorization.

2133223033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 22.

The square root of 2133223033 is about 46186.8274836019. The cubic root of 2133223033 is about 1287.2969928833.

Adding to 2133223033 its reverse (3303223312), we get a palindrome (5436446345).

The spelling of 2133223033 in words is "two billion, one hundred thirty-three million, two hundred twenty-three thousand, thirty-three".