Search a number
-
+
300322330020 = 2233517919116267
BaseRepresentation
bin1000101111011001001…
…10110001010110100100
31001201011222110002102000
410113230212301112210
514410030004030040
6345544405445300
730461160454116
oct4275446612644
91051158402360
10300322330020
11106403142649
124a255410830
132242184752b
141076dc893b6
157c2ab2e130
hex45ec9b15a4

300322330020 has 192 divisors, whose sum is σ = 944533094400. Its totient is φ = 79216721280.

The previous prime is 300322330003. The next prime is 300322330081. The reversal of 300322330020 is 20033223003.

300322330020 is a `hidden beast` number, since 300 + 32 + 2 + 330 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 300322329975 and 300322330002.

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 63 ways as a sum of consecutive naturals, for example, 18453927 + ... + 18470193.

It is an arithmetic number, because the mean of its divisors is an integer number (4919443200).

Almost surely, 2300322330020 is an apocalyptic number.

300322330020 is a gapful number since it is divisible by the number (30) 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 300322330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472266547200).

300322330020 is an abundant number, since it is smaller than the sum of its proper divisors (644210764380).

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

300322330020 is a wasteful number, since it uses less digits than its factorization.

300322330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16655 (or 16647 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 300322330020 its reverse (20033223003), we get a palindrome (320355553023).

The spelling of 300322330020 in words is "three hundred billion, three hundred twenty-two million, three hundred thirty thousand, twenty".