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2020221000000 = 26345672509
BaseRepresentation
bin11101011001011110100…
…011100001100101000000
321011010112200020002020000
4131121132203201211000
5231044403034000000
64144024323120000
7265645650111600
oct35313643414500
97133480202200
102020221000000
117098530a6435
12287647b13000
13118676969928
146daca262c00
153783d350000
hex1d65e8e1940

2020221000000 has 1470 divisors, whose sum is σ = 8724862734390. Its totient is φ = 460857600000.

The previous prime is 2020220999977. The next prime is 2020221000023. The reversal of 2020221000000 is 1220202.

It is an interprime number because it is at equal distance from previous prime (2020220999977) and next prime (2020221000023).

It can be written as a sum of positive squares in 7 ways, for example, as 1982959646976 + 37261353024 = 1408176^2 + 193032^2 .

It is a tau number, because it is divible by the number of its divisors (1470).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 209 ways as a sum of consecutive naturals, for example, 3968999746 + ... + 3969000254.

Almost surely, 22020221000000 is an apocalyptic number.

2020221000000 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 2020221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362431367195).

2020221000000 is an abundant number, since it is smaller than the sum of its proper divisors (6704641734390).

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

2020221000000 is an frugal number, since it uses more digits than its factorization.

2020221000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2020221000000 its reverse (1220202), we get a palindrome (2020222220202).

The spelling of 2020221000000 in words is "two trillion, twenty billion, two hundred twenty-one million", and thus it is an aban number.