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21111112 = 23112113193
BaseRepresentation
bin101000010001…
…0000101001000
31110201120000001
41100202011020
520401023422
62032252344
7344304301
oct120420510
943646001
1021111112
1110a0a100
1270a10b4
1344b20a9
142b377a8
151cc0227
hex1422148

21111112 has 48 divisors (see below), whose sum is σ = 44121420. Its totient is φ = 9461760.

The previous prime is 21111073. The next prime is 21111113.

21111112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 16924996 + 4186116 = 4114^2 + 2046^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (21111113) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 109288 + ... + 109480.

Almost surely, 221111112 is an apocalyptic number.

21111112 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 21111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22060710).

21111112 is an abundant number, since it is smaller than the sum of its proper divisors (23010308).

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

21111112 is a wasteful number, since it uses less digits than its factorization.

21111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 319 counting only the distinct ones).

The product of its digits is 4, while the sum is 10.

The square root of 21111112 is about 4594.6830140936. The cubic root of 21111112 is about 276.3781486073.

It can be divided in two parts, 2111 and 1112, that multiplied together give a palindrome (2347432).

The spelling of 21111112 in words is "twenty-one million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 113 121 193 226 242 386 452 484 772 904 968 1243 1544 2123 2486 4246 4972 8492 9944 13673 16984 21809 23353 27346 43618 46706 54692 87236 93412 109384 174472 186824 239899 479798 959596 1919192 2638889 5277778 10555556 21111112