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11111112 = 2332154321
BaseRepresentation
bin101010011000…
…101011001000
3202220111120200
4222120223020
510321023422
61034052200
7163304625
oct52305310
922814520
1011111112
1162a9a41
12387a060
1323c052c
14169334c
15e972ac
hexa98ac8

11111112 has 24 divisors (see below), whose sum is σ = 30092790. Its totient is φ = 3703680.

The previous prime is 11111101. The next prime is 11111117. The reversal of 11111112 is 21111111.

It can be written as a sum of positive squares in only one way, i.e., 10929636 + 181476 = 3306^2 + 426^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

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 plaindrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11111094 and 11111103.

It is not an unprimeable number, because it can be changed into a prime (11111117) by changing a digit.

It is a Kaprekar number, because its square (123456809876544) can be partitioned into two parts whose sum is 11111112.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77089 + ... + 77232.

Almost surely, 211111112 is an apocalyptic number.

11111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11111112 is an abundant number, since it is smaller than the sum of its proper divisors (18981678).

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

11111112 is a wasteful number, since it uses less digits than its factorization.

11111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154333 (or 154326 counting only the distinct ones).

The product of its digits is 2, while the sum is 9.

The square root of 11111112 is about 3333.3334666667. Note that the first 3 decimals coincide. The cubic root of 11111112 is about 223.1443226446.

Adding to 11111112 its reverse (21111111), we get a palindrome (32222223).

Subtracting 11111112 from its reverse (21111111), we obtain a palindrome (9999999).

It can be divided in two parts, 1111111 and 2, that multiplied together give a palindrome (2222222).

The spelling of 11111112 in words is "eleven million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 154321 308642 462963 617284 925926 1234568 1388889 1851852 2777778 3703704 5555556 11111112