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212111112 = 23343320411
BaseRepresentation
bin11001010010010…
…00111100001000
3112210010100202010
430221020330020
5413300023422
633014135520
75153625513
oct1451107410
9483110663
10212111112
11a9805244
125b0515a0
1334c37a45
1420255d7a
151394cb0c
hexca48f08

212111112 has 32 divisors (see below), whose sum is σ = 531528480. Its totient is φ = 70536960.

The previous prime is 212111111. The next prime is 212111147. The reversal of 212111112 is 211111212.

It is a super-2 number, since 2×2121111122 = 89982247667753088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 not an unprimeable number, because it can be changed into a prime (212111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187 + ... + 20597.

It is an arithmetic number, because the mean of its divisors is an integer number (16610265).

Almost surely, 2212111112 is an apocalyptic number.

It is an amenable number.

212111112 is an abundant number, since it is smaller than the sum of its proper divisors (319417368).

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

212111112 is a wasteful number, since it uses less digits than its factorization.

212111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20853 (or 20849 counting only the distinct ones).

The product of its digits is 8, while the sum is 12.

The square root of 212111112 is about 14564.0348804856. The cubic root of 212111112 is about 596.3773491328.

Adding to 212111112 its reverse (211111212), we get a palindrome (423222324).

The spelling of 212111112 in words is "two hundred twelve million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 433 866 1299 1732 2598 3464 5196 10392 20411 40822 61233 81644 122466 163288 244932 489864 8837963 17675926 26513889 35351852 53027778 70703704 106055556 212111112