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212103302220000 = 253354467841079
BaseRepresentation
bin110000001110100000100101…
…111111000000100011100000
31000210222212200211001122212000
4300032200211333000203200
5210300100030332020000
62031034524544404000
762450646361605222
oct6016404577004340
91023885624048760
10212103302220000
1161645561643a94
121b95705a916600
139147342669b19
143a53bd705a412
15197c46108a000
hexc0e825fc08e0

212103302220000 has 480 divisors, whose sum is σ = 774702100972800. Its totient is φ = 56439698112000.

The previous prime is 212103302219999. The next prime is 212103302220031. The reversal of 212103302220000 is 22203301212.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 251759461 + ... + 252600539.

It is an arithmetic number, because the mean of its divisors is an integer number (1613962710360).

Almost surely, 2212103302220000 is an apocalyptic number.

212103302220000 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 212103302220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387351050486400).

212103302220000 is an abundant number, since it is smaller than the sum of its proper divisors (562598798752800).

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

212103302220000 is an equidigital number, since it uses as much as digits as its factorization.

212103302220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841585 (or 841556 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212103302220000 its reverse (22203301212), we get a palindrome (212125505521212).

The spelling of 212103302220000 in words is "two hundred twelve trillion, one hundred three billion, three hundred two million, two hundred twenty thousand".