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20212314404320 = 2551925791928151
BaseRepresentation
bin1001001100010000010111…
…10100011111010111100000
32122120021111221110202011001
410212020023310133113200
510122124304441414240
6110553224204401344
74154201664464203
oct446101364372740
978507457422131
1020212314404320
116492aa3602495
122325347246254
13b3802293998c
144dc3d19dd93a
15250b7e48289a
hex12620bd1f5e0

20212314404320 has 192 divisors, whose sum is σ = 50517119923200. Its totient is φ = 7621027430400.

The previous prime is 20212314404311. The next prime is 20212314404333. The reversal of 20212314404320 is 2340441321202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717982245 + ... + 718010395.

It is an arithmetic number, because the mean of its divisors is an integer number (263109999600).

Almost surely, 220212314404320 is an apocalyptic number.

20212314404320 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 20212314404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25258559961600).

20212314404320 is an abundant number, since it is smaller than the sum of its proper divisors (30304805518880).

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

20212314404320 is a wasteful number, since it uses less digits than its factorization.

20212314404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29361 (or 29353 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 20212314404320 its reverse (2340441321202), we get a palindrome (22552755725522).

The spelling of 20212314404320 in words is "twenty trillion, two hundred twelve billion, three hundred fourteen million, four hundred four thousand, three hundred twenty".