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221130330330000 = 24354713174764713
BaseRepresentation
bin110010010001110111101010…
…110010011101001110010000
31001222221212000221000201220110
4302101313222302131032100
5212440444404031030000
62102145512113241320
764402065504534150
oct6221675262351620
91058855027021813
10221130330330000
1164505934685203
1220974658263240
139650667c9ccc0
143c86a9d5c0760
151a87192500850
hexc91deac9d390

221130330330000 has 800 divisors, whose sum is σ = 930250868633856. Its totient is φ = 43911585792000.

The previous prime is 221130330329921. The next prime is 221130330330001. The reversal of 221130330330000 is 33033031122.

221130330330000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (221130330330001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44027644 + ... + 48792356.

Almost surely, 2221130330330000 is an apocalyptic number.

221130330330000 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 221130330330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465125434316928).

221130330330000 is an abundant number, since it is smaller than the sum of its proper divisors (709120538303856).

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

221130330330000 is a wasteful number, since it uses less digits than its factorization.

221130330330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4764781 (or 4764760 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 221130330330000 its reverse (33033031122), we get a palindrome (221163363361122).

The spelling of 221130330330000 in words is "two hundred twenty-one trillion, one hundred thirty billion, three hundred thirty million, three hundred thirty thousand".