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20132133230300 = 225271322947912251
BaseRepresentation
bin1001001001111011000001…
…01001100101011011011100
32122021121112222110002010012
410210331200221211123130
510114321102101332200
6110452324015502352
74145333012654360
oct444754051453334
978247488402105
1020132133230300
116461a98401713
1223118aa8279b8
13b305b510c800
144d8586b832a0
1524da3a127a35
hex124f60a656dc

20132133230300 has 432 divisors, whose sum is σ = 56049312614400. Its totient is φ = 6138437760000.

The previous prime is 20132133230269. The next prime is 20132133230323. The reversal of 20132133230300 is 303233123102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1643299175 + ... + 1643311425.

It is an arithmetic number, because the mean of its divisors is an integer number (129743779200).

Almost surely, 220132133230300 is an apocalyptic number.

20132133230300 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 20132133230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28024656307200).

20132133230300 is an abundant number, since it is smaller than the sum of its proper divisors (35917179384100).

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

20132133230300 is a wasteful number, since it uses less digits than its factorization.

20132133230300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12806 (or 12786 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 20132133230300 its reverse (303233123102), we get a palindrome (20435366353402).

The spelling of 20132133230300 in words is "twenty trillion, one hundred thirty-two billion, one hundred thirty-three million, two hundred thirty thousand, three hundred".