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21331120200 = 23352133178627
BaseRepresentation
bin10011110111011011…
…110001000001001000
32001001121021011212220
4103313123301001020
5322141231321300
613444355534040
71353414346545
oct236733610110
961047234786
1021331120200
119056952365
1241738ba320
13201c3ba720
141064dc7bcc
1584ca56da0
hex4f76f1048

21331120200 has 192 divisors, whose sum is σ = 71446052160. Its totient is φ = 5233566720.

The previous prime is 21331120183. The next prime is 21331120309. The reversal of 21331120200 is 202113312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21331120200.

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 47 ways as a sum of consecutive naturals, for example, 2468287 + ... + 2476913.

It is an arithmetic number, because the mean of its divisors is an integer number (372114855).

Almost surely, 221331120200 is an apocalyptic number.

21331120200 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 21331120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35723026080).

21331120200 is an abundant number, since it is smaller than the sum of its proper divisors (50114931960).

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

21331120200 is a wasteful number, since it uses less digits than its factorization.

21331120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8976 (or 8967 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21331120200 its reverse (202113312), we get a palindrome (21533233512).

The spelling of 21331120200 in words is "twenty-one billion, three hundred thirty-one million, one hundred twenty thousand, two hundred".