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11121132 = 22311173487
BaseRepresentation
bin101010011011…
…000111101100
3202221000022210
4222123013230
510321334012
61034210420
7163346061
oct52330754
922830283
1011121132
116306520
123883a10
1323c4c69
141696c68
15e9a23c
hexa9b1ec

11121132 has 48 divisors (see below), whose sum is σ = 28530432. Its totient is φ = 3343680.

The previous prime is 11121083. The next prime is 11121139. The reversal of 11121132 is 23112111.

It is a super-2 number, since 2×111211322 = 247359153922848, 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 (11121139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22593 + ... + 23079.

It is an arithmetic number, because the mean of its divisors is an integer number (594384).

Almost surely, 211121132 is an apocalyptic number.

11121132 is a gapful number since it is divisible by the number (12) 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 11121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14265216).

11121132 is an abundant number, since it is smaller than the sum of its proper divisors (17409300).

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

11121132 is a wasteful number, since it uses less digits than its factorization.

11121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 676 counting only the distinct ones).

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

The square root of 11121132 is about 3334.8361279079. The cubic root of 11121132 is about 223.2113796693.

Adding to 11121132 its reverse (23112111), we get a palindrome (34233243).

The spelling of 11121132 in words is "eleven million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 173 346 487 519 692 974 1038 1461 1903 1948 2076 2922 3806 5357 5709 5844 7612 10714 11418 16071 21428 22836 32142 64284 84251 168502 252753 337004 505506 926761 1011012 1853522 2780283 3707044 5560566 11121132