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20021110120 = 23511217613989
BaseRepresentation
bin10010101001010110…
…011110010101101000
31220200022020202220001
4102221112132111220
5312000401010440
613110401512344
71306066425304
oct225126362550
956608222801
1020021110120
118544438400
123a690426b4
131b70b8942b
14d7d01cd04
157c2a3ab9a
hex4a959e568

20021110120 has 192 divisors, whose sum is σ = 53300494800. Its totient is φ = 6738124800.

The previous prime is 20021110111. The next prime is 20021110139. The reversal of 20021110120 is 2101112002.

It can be written as a sum of positive squares in 8 ways, for example, as 5396077764 + 14625032356 = 73458^2 + 120934^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 20021110097 and 20021110106.

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 47 ways as a sum of consecutive naturals, for example, 5017086 + ... + 5021074.

Almost surely, 220021110120 is an apocalyptic number.

20021110120 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 20021110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26650247400).

20021110120 is an abundant number, since it is smaller than the sum of its proper divisors (33279384680).

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

20021110120 is a wasteful number, since it uses less digits than its factorization.

20021110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20021110120 its reverse (2101112002), we get a palindrome (22122222122).

The spelling of 20021110120 in words is "twenty billion, twenty-one million, one hundred ten thousand, one hundred twenty".