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33144322133 = 1319457479613
BaseRepresentation
bin11110110111100011…
…100011100001010101
310011112212220000110102
4132313203203201111
51020334421302013
623120513503445
72252230042526
oct366743434125
9104485800412
1033144322133
111306911886a
12650bb71b85
13318293b040
141865c9c84d
15cdebc9d58
hex7b78e3855

33144322133 has 32 divisors (see below), whose sum is σ = 37794892800. Its totient is φ = 28813625856.

The previous prime is 33144322129. The next prime is 33144322177. The reversal of 33144322133 is 33122344133.

It is not a de Polignac number, because 33144322133 - 22 = 33144322129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33144322096 and 33144322105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33144312133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54068735 + ... + 54069347.

It is an arithmetic number, because the mean of its divisors is an integer number (1181090400).

Almost surely, 233144322133 is an apocalyptic number.

It is an amenable number.

33144322133 is a deficient number, since it is larger than the sum of its proper divisors (4650570667).

33144322133 is a wasteful number, since it uses less digits than its factorization.

33144322133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581.

The product of its digits is 15552, while the sum is 29.

Adding to 33144322133 its reverse (33122344133), we get a palindrome (66266666266).

The spelling of 33144322133 in words is "thirty-three billion, one hundred forty-four million, three hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 13 19 247 457 479 613 5941 6227 7969 8683 9101 11647 112879 118313 151411 218903 280141 293627 2845739 3641833 3817151 4159157 5322679 5578913 54069041 69194827 72525869 134187539 1744438007 2549563241 33144322133