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221021000200200 = 2335210317209207821
BaseRepresentation
bin110010010000010001110110…
…001101000111000000001000
31001222120101211112002200200210
4302100101312031013000020
5212432202002022401300
62102023351253201120
764361145266006064
oct6220216615070010
91058511745080623
10221021000200200
1164473530675532
12209574259301a0
1396432634c33c5
143c8168b370aa4
151a843e4128050
hexc90476347008

221021000200200 has 192 divisors, whose sum is σ = 691860718972800. Its totient is φ = 58363038259200.

The previous prime is 221021000200193. The next prime is 221021000200201. The reversal of 221021000200200 is 2002000120122.

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

It is not an unprimeable number, because it can be changed into a prime (221021000200201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1063412290 + ... + 1063620110.

It is an arithmetic number, because the mean of its divisors is an integer number (3603441244650).

Almost surely, 2221021000200200 is an apocalyptic number.

221021000200200 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 221021000200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345930359486400).

221021000200200 is an abundant number, since it is smaller than the sum of its proper divisors (470839718772600).

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

221021000200200 is a wasteful number, since it uses less digits than its factorization.

221021000200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225152 (or 225143 counting only the distinct ones).

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

Adding to 221021000200200 its reverse (2002000120122), we get a palindrome (223023000320322).

The spelling of 221021000200200 in words is "two hundred twenty-one trillion, twenty-one billion, two hundred thousand, two hundred".