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20112022020000 = 253542325795651
BaseRepresentation
bin1001001001010101100011…
…11011011001111110100000
32122012200122101122202000110
410210222301323121332200
510114003410114120000
6110435200234451320
74144021440335241
oct444526173317640
978180571582013
1020112022020000
116454508124759
122309a17593b40
13b2b72b697981
144d75d9bcccc8
1524d25e740850
hex124ab1ed9fa0

20112022020000 has 480 divisors, whose sum is σ = 68878657774080. Its totient is φ = 5127126400000.

The previous prime is 20112022019959. The next prime is 20112022020029. The reversal of 20112022020000 is 2022021102.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3559017175 + ... + 3559022825.

It is an arithmetic number, because the mean of its divisors is an integer number (143497203696).

Almost surely, 220112022020000 is an apocalyptic number.

20112022020000 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 20112022020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34439328887040).

20112022020000 is an abundant number, since it is smaller than the sum of its proper divisors (48766635754080).

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

20112022020000 is a wasteful number, since it uses less digits than its factorization.

20112022020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286 (or 8263 counting only the distinct ones).

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

Adding to 20112022020000 its reverse (2022021102), we get a palindrome (20114044041102).

The spelling of 20112022020000 in words is "twenty trillion, one hundred twelve billion, twenty-two million, twenty thousand".