Search a number
-
+
20020330000 = 245411374919
BaseRepresentation
bin10010101001010011…
…011111111000010000
31220200020210010202201
4102221103133320100
5312000201030000
613110333052544
71306056666016
oct225123377020
956606703681
1020020330000
118543a55280
123a68927154
131b70975318
14d7cc988b6
157c293496a
hex4a94dfe10

20020330000 has 200 divisors, whose sum is σ = 54317862720. Its totient is φ = 7081920000.

The previous prime is 20020329947. The next prime is 20020330027. The reversal of 20020330000 is 3302002.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×200203300002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4067541 + ... + 4072459.

Almost surely, 220020330000 is an apocalyptic number.

20020330000 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 20020330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27158931360).

20020330000 is an abundant number, since it is smaller than the sum of its proper divisors (34297532720).

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

20020330000 is a wasteful number, since it uses less digits than its factorization.

20020330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

Adding to 20020330000 its reverse (3302002), we get a palindrome (20023632002).

The spelling of 20020330000 in words is "twenty billion, twenty million, three hundred thirty thousand".