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2021220110000 = 2454731345329
BaseRepresentation
bin11101011010011010000…
…110110100111010110000
321011020010022020010111002
4131122122012310322300
5231103424322010000
64144311413341132
7266012501315000
oct35323206647260
97136108203432
102021220110000
1170a216071583
122878866377a8
131187a5954990
146db82c1c000
153789ae078d5
hex1d69a1b4eb0

2021220110000 has 400 divisors, whose sum is σ = 6145913928000. Its totient is φ = 639668736000.

The previous prime is 2021220109969. The next prime is 2021220110027. The reversal of 2021220110000 is 110221202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44567336 + ... + 44612664.

It is an arithmetic number, because the mean of its divisors is an integer number (15364784820).

Almost surely, 22021220110000 is an apocalyptic number.

2021220110000 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 2021220110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072956964000).

2021220110000 is an abundant number, since it is smaller than the sum of its proper divisors (4124693818000).

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

2021220110000 is an equidigital number, since it uses as much as digits as its factorization.

2021220110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45391 (or 45356 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2021220110000 its reverse (110221202), we get a palindrome (2021330331202).

The spelling of 2021220110000 in words is "two trillion, twenty-one billion, two hundred twenty million, one hundred ten thousand".