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21110112 = 253353461
BaseRepresentation
bin101000010000…
…1110101100000
31110201111122000
41100201311200
520401010422
62032244000
7344301342
oct120416540
943644560
1021110112
1110a09381
1270a0600
1344b17ba
142b37292
151cbecac
hex1421d60

21110112 has 96 divisors (see below), whose sum is σ = 62868960. Its totient is φ = 6888960.

The previous prime is 21110099. The next prime is 21110123. The reversal of 21110112 is 21101112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 21110094 and 21110103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45562 + ... + 46022.

It is an arithmetic number, because the mean of its divisors is an integer number (654885).

Almost surely, 221110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31434480).

21110112 is an abundant number, since it is smaller than the sum of its proper divisors (41758848).

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

21110112 is a wasteful number, since it uses less digits than its factorization.

21110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 21110112 is about 4594.5741913696. The cubic root of 21110112 is about 276.3737846731.

Adding to 21110112 its reverse (21101112), we get a palindrome (42211224).

The spelling of 21110112 in words is "twenty-one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 96 106 108 144 159 212 216 288 318 424 432 461 477 636 848 864 922 954 1272 1383 1431 1696 1844 1908 2544 2766 2862 3688 3816 4149 5088 5532 5724 7376 7632 8298 11064 11448 12447 14752 15264 16596 22128 22896 24433 24894 33192 44256 45792 48866 49788 66384 73299 97732 99576 132768 146598 195464 199152 219897 293196 390928 398304 439794 586392 659691 781856 879588 1172784 1319382 1759176 2345568 2638764 3518352 5277528 7036704 10555056 21110112