Search a number
-
+
2133042423120 = 2432571217347759
BaseRepresentation
bin11111000010100011001…
…111000110010101010000
321112220202101122012111200
4133002203033012111100
5234421432330014440
64311523421511200
7310051531304460
oct37024317062520
97486671565450
102133042423120
11752688926494
122a5493712500
131261b6854b6b
1475350045ba0
153a742eb4c30
hex1f0a33c6550

2133042423120 has 240 divisors, whose sum is σ = 8193570577920. Its totient is φ = 487150534656.

The previous prime is 2133042423089. The next prime is 2133042423191. The reversal of 2133042423120 is 213242403312.

2133042423120 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 0 + 424 + 231 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21330424231202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 in 47 ways as a sum of consecutive naturals, for example, 5959801 + ... + 6307559.

It is an arithmetic number, because the mean of its divisors is an integer number (34139877408).

Almost surely, 22133042423120 is an apocalyptic number.

2133042423120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133042423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096785288960).

2133042423120 is an abundant number, since it is smaller than the sum of its proper divisors (6060528154800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2133042423120 is a wasteful number, since it uses less digits than its factorization.

2133042423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349002 (or 348993 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2133042423120 its reverse (213242403312), we get a palindrome (2346284826432).

The spelling of 2133042423120 in words is "two trillion, one hundred thirty-three billion, forty-two million, four hundred twenty-three thousand, one hundred twenty".