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20021022210000 = 243547233134111
BaseRepresentation
bin1001000110101100000011…
…11010101011011111010000
32121212222202110110102102010
410203112001322223133100
510111011023141210000
6110325310341022520
74134320410611600
oct443260172533720
977788673412363
1020021022210000
1164199600aa609
1222b425b9b4a40
13b22c886a3b56
144d30461d2c00
1524abd571dd50
hex123581eab7d0

20021022210000 has 600 divisors, whose sum is σ = 75223439094144. Its totient is φ = 4573739520000.

The previous prime is 20021022209963. The next prime is 20021022210001. The reversal of 20021022210000 is 1222012002.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021022210001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4870107945 + ... + 4870112055.

Almost surely, 220021022210000 is an apocalyptic number.

20021022210000 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 20021022210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37611719547072).

20021022210000 is an abundant number, since it is smaller than the sum of its proper divisors (55202416884144).

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

20021022210000 is a wasteful number, since it uses less digits than its factorization.

20021022210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7469 (or 7441 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20021022210000 its reverse (1222012002), we get a palindrome (20022244222002).

The spelling of 20021022210000 in words is "twenty trillion, twenty-one billion, twenty-two million, two hundred ten thousand".