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220020111000 = 23335315595227
BaseRepresentation
bin1100110011101000111…
…0000111011010011000
3210000220120122200212000
43030322032013122120
512101100122023000
6245024214321000
721616206041364
oct3147216073230
9700816580760
10220020111000
1185345686988
1236784359160
1317994c188c1
14a912d202a4
155acad64000
hex333a387698

220020111000 has 256 divisors, whose sum is σ = 763371648000. Its totient is φ = 58623177600.

The previous prime is 220020110971. The next prime is 220020111037. The reversal of 220020111000 is 111020022.

220020111000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 63 ways as a sum of consecutive naturals, for example, 42090387 + ... + 42095613.

It is an arithmetic number, because the mean of its divisors is an integer number (2981920500).

Almost surely, 2220020111000 is an apocalyptic number.

220020111000 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 220020111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381685824000).

220020111000 is an abundant number, since it is smaller than the sum of its proper divisors (543351537000).

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

220020111000 is a wasteful number, since it uses less digits than its factorization.

220020111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6816 (or 6796 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 220020111000 its reverse (111020022), we get a palindrome (220131131022).

The spelling of 220020111000 in words is "two hundred twenty billion, twenty million, one hundred eleven thousand".