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112132755 = 3457371069
BaseRepresentation
bin1101010111100…
…00001010010011
321210222221020000
412223300022103
5212201222010
615043221043
72531053440
oct653601223
9253887200
10112132755
1158328aa9
1231677783
131a301057
1410c6c9c7
159c9e7c0
hex6af0293

112132755 has 80 divisors (see below), whose sum is σ = 236153280. Its totient is φ = 49828608.

The previous prime is 112132747. The next prime is 112132759. The reversal of 112132755 is 557231211.

It is not a de Polignac number, because 112132755 - 23 = 112132747 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112132759) 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 79 ways as a sum of consecutive naturals, for example, 104361 + ... + 105429.

It is an arithmetic number, because the mean of its divisors is an integer number (2951916).

Almost surely, 2112132755 is an apocalyptic number.

112132755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112132755 is an abundant number, since it is smaller than the sum of its proper divisors (124020525).

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

112132755 is a wasteful number, since it uses less digits than its factorization.

112132755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1121 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 112132755 is about 10589.2754709659. The cubic root of 112132755 is about 482.2188290866.

Adding to 112132755 its reverse (557231211), we get a palindrome (669363966).

The spelling of 112132755 in words is "one hundred twelve million, one hundred thirty-two thousand, seven hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 63 81 105 111 135 185 189 259 315 333 405 555 567 777 945 999 1069 1295 1665 2331 2835 2997 3207 3885 4995 5345 6993 7483 9621 11655 14985 16035 20979 22449 28863 34965 37415 39553 48105 67347 86589 104895 112245 118659 144315 197765 202041 276871 336735 355977 432945 593295 606123 830613 1010205 1067931 1384355 1779885 2491839 3030615 3203793 4153065 5339655 7475517 12459195 16018965 22426551 37377585 112132755