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21112000200 = 23325237359883
BaseRepresentation
bin10011101010010111…
…111000111011001000
32000111022221201202100
4103222113320323020
5321214133001300
613410531233400
71345114016664
oct235227707310
960438851670
1021112000200
118a541a0255
124112448860
131cb5b9a715
141043c698a4
158386c2700
hex4ea5f8ec8

21112000200 has 288 divisors, whose sum is σ = 73102910400. Its totient is φ = 5456263680.

The previous prime is 21112000199. The next prime is 21112000229. The reversal of 21112000200 is 200021112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23908959 + ... + 23909841.

It is an arithmetic number, because the mean of its divisors is an integer number (253829550).

Almost surely, 221112000200 is an apocalyptic number.

21112000200 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 21112000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36551455200).

21112000200 is an abundant number, since it is smaller than the sum of its proper divisors (51990910200).

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

21112000200 is a wasteful number, since it uses less digits than its factorization.

21112000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21112000200 its reverse (200021112), we get a palindrome (21312021312).

The spelling of 21112000200 in words is "twenty-one billion, one hundred twelve million, two hundred", and thus it is an aban number.