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21210112 = 210711269
BaseRepresentation
bin101000011101…
…0010000000000
31110220120210201
41100322100000
520412210422
62034334544
7345166030
oct120722000
943816721
1021210112
1110a77520
12712a454
134518181
142b618c0
151cde727
hex143a400

21210112 has 88 divisors (see below), whose sum is σ = 53058240. Its totient is φ = 8232960.

The previous prime is 21210109. The next prime is 21210151. The reversal of 21210112 is 21101212.

It is a tau number, because it is divible by the number of its divisors (88).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78714 + ... + 78982.

Almost surely, 221210112 is an apocalyptic number.

21210112 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 21210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26529120).

21210112 is an abundant number, since it is smaller than the sum of its proper divisors (31848128).

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

21210112 is a wasteful number, since it uses less digits than its factorization.

21210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 21210112 is about 4605.4437354070. The cubic root of 21210112 is about 276.8094977083.

Adding to 21210112 its reverse (21101212), we get a palindrome (42311324).

Subtracting from 21210112 its reverse (21101212), we obtain a square (108900 = 3302).

The spelling of 21210112 in words is "twenty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 269 308 352 448 512 538 616 704 896 1024 1076 1232 1408 1792 1883 2152 2464 2816 2959 3584 3766 4304 4928 5632 5918 7168 7532 8608 9856 11264 11836 15064 17216 19712 20713 23672 30128 34432 39424 41426 47344 60256 68864 78848 82852 94688 120512 137728 165704 189376 241024 275456 331408 378752 482048 662816 757504 964096 1325632 1515008 1928192 2651264 3030016 5302528 10605056 21210112