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2133330033131 = 113715733385969
BaseRepresentation
bin11111000010110100011…
…000001111100111101011
321112221111102211022021022
4133002310120033213223
5234423024442030011
64312012134203055
7310061623041563
oct37026430174753
97487442738238
102133330033131
11752816208110
122a5553ab348b
131262313052bb
147537a311da3
153a75d3778db
hex1f0b460f9eb

2133330033131 has 16 divisors (see below), whose sum is σ = 2405392366560. Its totient is φ = 1874955962880.

The previous prime is 2133330033113. The next prime is 2133330033143. The reversal of 2133330033131 is 1313300333312.

It is a happy number.

It is not a de Polignac number, because 2133330033131 - 210 = 2133330032107 is a prime.

It is a super-2 number, since 2×21333300331312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2133330033131.

It is not an unprimeable number, because it can be changed into a prime (2133330033181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16629086 + ... + 16756883.

It is an arithmetic number, because the mean of its divisors is an integer number (150337022910).

Almost surely, 22133330033131 is an apocalyptic number.

2133330033131 is a deficient number, since it is larger than the sum of its proper divisors (272062333429).

2133330033131 is a wasteful number, since it uses less digits than its factorization.

2133330033131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33386174.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 2133330033131 its reverse (1313300333312), we get a palindrome (3446630366443).

The spelling of 2133330033131 in words is "two trillion, one hundred thirty-three billion, three hundred thirty million, thirty-three thousand, one hundred thirty-one".

Divisors: 1 11 37 157 407 1727 5809 63899 33385969 367245659 1235280853 5241597133 13588089383 57657568463 193939093921 2133330033131