Search a number
-
+
300132301302020 = 2251117313809316919
BaseRepresentation
bin100010000111101111111111…
…1001101000110100100000100
31110100200100221010012002101002
41010033133333031012210010
5303314331423113131040
62542154513100152432
7120134562134130545
oct10417377715064404
91410610833162332
10300132301302020
11876a4437719950
12297b3798538718
13cb6147bcb9305
1454186a37cc4cc
1524a71e374ea15
hex110f7ff346904

300132301302020 has 192 divisors, whose sum is σ = 731252486361600. Its totient is φ = 102264012963840.

The previous prime is 300132301302017. The next prime is 300132301302061. The reversal of 300132301302020 is 20203103231003.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 300132301301983 and 300132301302001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 946873121 + ... + 947190039.

It is an arithmetic number, because the mean of its divisors is an integer number (3808606699800).

Almost surely, 2300132301302020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300132301302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365626243180800).

300132301302020 is an abundant number, since it is smaller than the sum of its proper divisors (431120185059580).

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

300132301302020 is a wasteful number, since it uses less digits than its factorization.

300132301302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318078 (or 318076 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 300132301302020 its reverse (20203103231003), we get a palindrome (320335404533023).

The spelling of 300132301302020 in words is "three hundred trillion, one hundred thirty-two billion, three hundred one million, three hundred two thousand, twenty".