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20210020200000 = 26325530373697
BaseRepresentation
bin1001001100001100000110…
…00100110010111001000000
32122120001121001112002110200
410212012003010302321000
510122110110132400000
6110552204411525200
74154061066201651
oct446060304627100
978501531462420
1020210020200000
11649202658a864
122324a06a59800
13b37a48543827
144dc25503d528
15250a97d58500
hex126183132e40

20210020200000 has 504 divisors, whose sum is σ = 72449265778344. Its totient is φ = 5386106880000.

The previous prime is 20210020199953. The next prime is 20210020200011. The reversal of 20210020200000 is 202001202.

It can be written as a sum of positive squares in 12 ways, for example, as 20207470353984 + 2549846016 = 4495272^2 + 50496^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5466598152 + ... + 5466601848.

It is an arithmetic number, because the mean of its divisors is an integer number (143748543211).

Almost surely, 220210020200000 is an apocalyptic number.

20210020200000 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 20210020200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36224632889172).

20210020200000 is an abundant number, since it is smaller than the sum of its proper divisors (52239245578344).

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

20210020200000 is an equidigital number, since it uses as much as digits as its factorization.

20210020200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6777 (or 6744 counting only the distinct ones).

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

Adding to 20210020200000 its reverse (202001202), we get a palindrome (20210222201202).

The spelling of 20210020200000 in words is "twenty trillion, two hundred ten billion, twenty million, two hundred thousand".