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21011232200112 = 24327116017274337
BaseRepresentation
bin1001100011100000011110…
…00010000001010110110000
32202101122122220020211001100
410301300033002001112300
510223222000420400422
6112404232105404400
74266003630632010
oct461601702012660
982348586224040
1021011232200112
1167708a48a7140
12243414b199700
13b9547362671b
14528d40339c40
1526683c7567ac
hex131c0f0815b0

21011232200112 has 480 divisors, whose sum is σ = 73551866379264. Its totient is φ = 5439633408000.

The previous prime is 21011232200087. The next prime is 21011232200129. The reversal of 21011232200112 is 21100223211012.

21011232200112 is a `hidden beast` number, since 210 + 1 + 123 + 220 + 0 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4844644408 + ... + 4844648744.

Almost surely, 221011232200112 is an apocalyptic number.

21011232200112 is a gapful number since it is divisible by the number (22) 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 21011232200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36775933189632).

21011232200112 is an abundant number, since it is smaller than the sum of its proper divisors (52540634179152).

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

21011232200112 is a wasteful number, since it uses less digits than its factorization.

21011232200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5697 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21011232200112 its reverse (21100223211012), we get a palindrome (42111455411124).

The spelling of 21011232200112 in words is "twenty-one trillion, eleven billion, two hundred thirty-two million, two hundred thousand, one hundred twelve".