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112341132 = 22325397607
BaseRepresentation
bin1101011001000…
…11000010001100
321211101112001200
412230203002030
5212224404012
615051505500
72532612111
oct654430214
9254345050
10112341132
1158460612
1231758290
131a374b57
1410cc4908
159ce13dc
hex6b2308c

112341132 has 72 divisors (see below), whose sum is σ = 292795776. Its totient is φ = 36301824.

The previous prime is 112341127. The next prime is 112341137. The reversal of 112341132 is 231143211.

It is an interprime number because it is at equal distance from previous prime (112341127) and next prime (112341137).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112341137) 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 23 ways as a sum of consecutive naturals, for example, 184773 + ... + 185379.

It is an arithmetic number, because the mean of its divisors is an integer number (4066608).

Almost surely, 2112341132 is an apocalyptic number.

112341132 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 112341132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397888).

112341132 is an abundant number, since it is smaller than the sum of its proper divisors (180454644).

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

112341132 is a wasteful number, since it uses less digits than its factorization.

112341132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 762 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 112341132 is about 10599.1099626337. The cubic root of 112341132 is about 482.5173476720.

Adding to 112341132 its reverse (231143211), we get a palindrome (343484343).

The spelling of 112341132 in words is "one hundred twelve million, three hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 97 106 159 194 212 291 318 388 477 582 607 636 873 954 1164 1214 1746 1821 1908 2428 3492 3642 5141 5463 7284 10282 10926 15423 20564 21852 30846 32171 46269 58879 61692 64342 92538 96513 117758 128684 176637 185076 193026 235516 289539 353274 386052 529911 579078 706548 1059822 1158156 2119644 3120587 6241174 9361761 12482348 18723522 28085283 37447044 56170566 112341132