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12113112 = 23311172699
BaseRepresentation
bin101110001101…
…010011011000
3211210102001210
4232031103120
511100104422
61111343120
7204650124
oct56152330
924712053
1012113112
116923840
124081aa0
13268162b
141874584
1510e410c
hexb8d4d8

12113112 has 64 divisors (see below), whose sum is σ = 34992000. Its totient is φ = 3453440.

The previous prime is 12113093. The next prime is 12113117. The reversal of 12113112 is 21131121.

12113112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3139 + ... + 5837.

It is an arithmetic number, because the mean of its divisors is an integer number (546750).

Almost surely, 212113112 is an apocalyptic number.

12113112 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 12113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17496000).

12113112 is an abundant number, since it is smaller than the sum of its proper divisors (22878888).

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

12113112 is a wasteful number, since it uses less digits than its factorization.

12113112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2732 counting only the distinct ones).

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

The square root of 12113112 is about 3480.3896333600. The cubic root of 12113112 is about 229.6599385412.

Adding to 12113112 its reverse (21131121), we get a palindrome (33244233).

Subtracting 12113112 from its reverse (21131121), we obtain a square (9018009 = 30032).

The spelling of 12113112 in words is "twelve million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 2699 4488 5398 8097 10796 16194 21592 29689 32388 45883 59378 64776 89067 91766 118756 137649 178134 183532 237512 275298 356268 367064 504713 550596 712536 1009426 1101192 1514139 2018852 3028278 4037704 6056556 12113112