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21243211200 = 2633523491409
BaseRepresentation
bin10011110010001100…
…011010110111000000
32000211110211221102000
4103302030122313000
5322001230224300
613431535424000
71351266213231
oct236214326700
960743757360
1021243211200
119011269aa2
12414a385000
13200711b473
141057463088
15844e8ec00
hex4f231adc0

21243211200 has 336 divisors, whose sum is σ = 77716380000. Its totient is φ = 5644615680.

The previous prime is 21243211159. The next prime is 21243211219. The reversal of 21243211200 is 211234212.

It is a happy number.

21243211200 is a `hidden beast` number, since 21 + 2 + 432 + 11 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15076096 + ... + 15077504.

It is an arithmetic number, because the mean of its divisors is an integer number (231298750).

Almost surely, 221243211200 is an apocalyptic number.

21243211200 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 21243211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38858190000).

21243211200 is an abundant number, since it is smaller than the sum of its proper divisors (56473168800).

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

21243211200 is a wasteful number, since it uses less digits than its factorization.

21243211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21243211200 its reverse (211234212), we get a palindrome (21454445412).

The spelling of 21243211200 in words is "twenty-one billion, two hundred forty-three million, two hundred eleven thousand, two hundred".