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21114112 = 28671231
BaseRepresentation
bin101000010001…
…0110100000000
31110201201010011
41100202310000
520401122422
62032314304
7344316115
oct120426400
943651104
1021114112
1110a11388
1270a2994
1344b3576
142b3890c
151cc1077
hex1422d00

21114112 has 36 divisors (see below), whose sum is σ = 42809536. Its totient is φ = 10391040.

The previous prime is 21114103. The next prime is 21114127. The reversal of 21114112 is 21141112.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21114092 and 21114101.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 16537 + ... + 17767.

Almost surely, 221114112 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 21114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21404768).

21114112 is an abundant number, since it is smaller than the sum of its proper divisors (21695424).

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

21114112 is an equidigital number, since it uses as much as digits as its factorization.

21114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1300 counting only the distinct ones).

The product of its digits is 16, while the sum is 13.

The square root of 21114112 is about 4595.0094668020. The cubic root of 21114112 is about 276.3912395832.

Adding to 21114112 its reverse (21141112), we get a palindrome (42255224).

Subtracting 21114112 from its reverse (21141112), we obtain a cube (27000 = 303).

The spelling of 21114112 in words is "twenty-one million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 536 1072 1231 2144 2462 4288 4924 8576 9848 17152 19696 39392 78784 82477 157568 164954 315136 329908 659816 1319632 2639264 5278528 10557056 21114112