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20021220210000 = 243545631185389
BaseRepresentation
bin1001000110101100011011…
…01101111111010101010000
32121220000021021000212100110
410203112031231333111100
510111011424333210000
6110325342132521320
74134325333566222
oct443261555772520
977800237025313
1020021220210000
116419a51946979
1222b42b6180240
13b22cba70aa09
144d3064614412
1524abe7cd0850
hex12358db7f550

20021220210000 has 200 divisors, whose sum is σ = 64746020766240. Its totient is φ = 5329504448000.

The previous prime is 20021220209987. The next prime is 20021220210001. The reversal of 20021220210000 is 1202212002.

It is a tau number, because it is divible by the number of its divisors (200).

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 (20021220210001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16297306 + ... + 17482694.

Almost surely, 220021220210000 is an apocalyptic number.

20021220210000 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 20021220210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32373010383120).

20021220210000 is an abundant number, since it is smaller than the sum of its proper divisors (44724800556240).

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

20021220210000 is a wasteful number, since it uses less digits than its factorization.

20021220210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185983 (or 1185962 counting only the distinct ones).

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

Adding to 20021220210000 its reverse (1202212002), we get a palindrome (20022422422002).

The spelling of 20021220210000 in words is "twenty trillion, twenty-one billion, two hundred twenty million, two hundred ten thousand".