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212231323023200 = 255213193473095231
BaseRepresentation
bin110000010000010111110100…
…100111100111011101100000
31000211110010010210210021212122
4300100113310213213131200
5210304144222143220300
62031213420202443412
762463131013513425
oct6020276447473540
91024403123707778
10212231323023200
1161694886a95288
121b977a28803568
13915643549c190
143a5a09d723d4c
151980955299c85
hexc105f49e7760

212231323023200 has 288 divisors, whose sum is σ = 589023640074240. Its totient is φ = 74024034969600.

The previous prime is 212231323023131. The next prime is 212231323023241. The reversal of 212231323023200 is 2320323132212.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 212231323023200.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 67019585 + ... + 70114815.

It is an arithmetic number, because the mean of its divisors is an integer number (2045220972480).

Almost surely, 2212231323023200 is an apocalyptic number.

212231323023200 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 212231323023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294511820037120).

212231323023200 is an abundant number, since it is smaller than the sum of its proper divisors (376792317051040).

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

212231323023200 is a wasteful number, since it uses less digits than its factorization.

212231323023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095630 (or 3095617 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 212231323023200 its reverse (2320323132212), we get a palindrome (214551646155412).

The spelling of 212231323023200 in words is "two hundred twelve trillion, two hundred thirty-one billion, three hundred twenty-three million, twenty-three thousand, two hundred".