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2021312212200 = 23325210119955871
BaseRepresentation
bin11101011010011111100…
…110001010110011101000
321011020100201112101221200
4131122133212022303220
5231104121411242300
64144324503404200
7266015000214351
oct35323746126350
97136321471850
102021312212200
1170a2630592a6
122878b1453660
131187bba61718
146db91154d28
15378a404c200
hex1d69f98ace8

2021312212200 has 288 divisors, whose sum is σ = 6890023296000. Its totient is φ = 530988480000.

The previous prime is 2021312212123. The next prime is 2021312212229. The reversal of 2021312212200 is 22122131202.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 36150265 + ... + 36206135.

It is an arithmetic number, because the mean of its divisors is an integer number (23923692000).

Almost surely, 22021312212200 is an apocalyptic number.

2021312212200 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 2021312212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445011648000).

2021312212200 is an abundant number, since it is smaller than the sum of its proper divisors (4868711083800).

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

2021312212200 is a wasteful number, since it uses less digits than its factorization.

2021312212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56193 (or 56181 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2021312212200 its reverse (22122131202), we get a palindrome (2043434343402).

The spelling of 2021312212200 in words is "two trillion, twenty-one billion, three hundred twelve million, two hundred twelve thousand, two hundred".