Search a number
-
+
20333303100 = 22335211797859
BaseRepresentation
bin10010111011111101…
…011001010100111100
31221111001200211011000
4102323331121110330
5313120311144400
613201353130300
71316610140025
oct227375312474
957431624130
1020333303100
11869468a630
123b356b9990
131bc0765cc6
14dac687c4c
157e0157600
hex4bbf5953c

20333303100 has 288 divisors, whose sum is σ = 71482924800. Its totient is φ = 4917369600.

The previous prime is 20333303099. The next prime is 20333303129. The reversal of 20333303100 is 130333302.

20333303100 is a `hidden beast` number, since 20 + 3 + 3 + 330 + 310 + 0 = 666.

It is a super-2 number, since 2×203333031002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23670471 + ... + 23671329.

It is an arithmetic number, because the mean of its divisors is an integer number (248204600).

Almost surely, 220333303100 is an apocalyptic number.

20333303100 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 20333303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35741462400).

20333303100 is an abundant number, since it is smaller than the sum of its proper divisors (51149621700).

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

20333303100 is a wasteful number, since it uses less digits than its factorization.

20333303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 20333303100 its reverse (130333302), we get a palindrome (20463636402).

The spelling of 20333303100 in words is "twenty billion, three hundred thirty-three million, three hundred three thousand, one hundred".