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20324424120 = 2335711131737269
BaseRepresentation
bin10010111011011011…
…100001100110111000
31221110102222201110220
4102323123201212320
5313111023032440
613200434540040
71316441516550
oct227333414670
957412881426
1020324424120
11868a675730
123b32737620
131bbb977780
14dab416160
157de4a18d0
hex4bb6e19b8

20324424120 has 1024 divisors, whose sum is σ = 89355571200. Its totient is φ = 3556638720.

The previous prime is 20324424091. The next prime is 20324424139. The reversal of 20324424120 is 2142442302.

It is a super-3 number, since 3×203244241203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 75555346 + ... + 75555614.

It is an arithmetic number, because the mean of its divisors is an integer number (87261300).

Almost surely, 220324424120 is an apocalyptic number.

20324424120 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 20324424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44677785600).

20324424120 is an abundant number, since it is smaller than the sum of its proper divisors (69031147080).

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

20324424120 is a wasteful number, since it uses less digits than its factorization.

20324424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20324424120 its reverse (2142442302), we get a palindrome (22466866422).

It can be divided in two parts, 20324 and 424120, that added together give a palindrome (444444).

The spelling of 20324424120 in words is "twenty billion, three hundred twenty-four million, four hundred twenty-four thousand, one hundred twenty".