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21204314611200 = 29335278765011
BaseRepresentation
bin1001101001001000000111…
…01000111101111000000000
32210002010001010212120112000
410310210003220331320000
510234402414020024300
6113033043323504000
74315650453224220
oct464440350757000
983063033776460
1021204314611200
116835776891406
122465656088000
13baa734735606
145344197d4080
1526b88d73ec00
hex134903a3de00

21204314611200 has 480 divisors, whose sum is σ = 88948744177920. Its totient is φ = 4846699929600.

The previous prime is 21204314611163. The next prime is 21204314611201. The reversal of 21204314611200 is 211641340212.

21204314611200 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 43 + 1 + 4 + 611 + 2 + 0 + 0 = 666.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21204314611201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1963306 + ... + 6801705.

It is an arithmetic number, because the mean of its divisors is an integer number (185309883704).

Almost surely, 221204314611200 is an apocalyptic number.

21204314611200 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 21204314611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44474372088960).

21204314611200 is an abundant number, since it is smaller than the sum of its proper divisors (67744429566720).

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

21204314611200 is an equidigital number, since it uses as much as digits as its factorization.

21204314611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8765055 (or 8765028 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 21204314611200 its reverse (211641340212), we get a palindrome (21415955951412).

The spelling of 21204314611200 in words is "twenty-one trillion, two hundred four billion, three hundred fourteen million, six hundred eleven thousand, two hundred".