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112130424 = 23327237859
BaseRepresentation
bin1101010111011…
…11100101111000
321210222211000200
412223233211320
5212201133144
615043202200
72531043600
oct653574570
9253884020
10112130424
115832727a
1231676360
131a2ccc83
1410c6bc00
159c9dc69
hex6aef978

112130424 has 144 divisors (see below), whose sum is σ = 363238200. Its totient is φ = 31135104.

The previous prime is 112130423. The next prime is 112130429. The reversal of 112130424 is 424031211.

112130424 is a `hidden beast` number, since 112 + 130 + 424 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112130397 and 112130406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112130423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130107 + ... + 130965.

Almost surely, 2112130424 is an apocalyptic number.

112130424 is a gapful number since it is divisible by the number (14) 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 112130424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181619100).

112130424 is an abundant number, since it is smaller than the sum of its proper divisors (251107776).

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

112130424 is a wasteful number, since it uses less digits than its factorization.

112130424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 112130424 is about 10589.1654062065. The cubic root of 112130424 is about 482.2154876309.

Adding to 112130424 its reverse (424031211), we get a palindrome (536161635).

The spelling of 112130424 in words is "one hundred twelve million, one hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 49 56 63 72 74 84 98 111 126 147 148 168 196 222 252 259 294 296 333 392 441 444 504 518 588 666 777 859 882 888 1036 1176 1332 1554 1718 1764 1813 2072 2331 2577 2664 3108 3436 3528 3626 4662 5154 5439 6013 6216 6872 7252 7731 9324 10308 10878 12026 14504 15462 16317 18039 18648 20616 21756 24052 30924 31783 32634 36078 42091 43512 48104 54117 61848 63566 65268 72156 84182 95349 108234 126273 127132 130536 144312 168364 190698 216468 222481 252546 254264 286047 336728 378819 381396 432936 444962 505092 572094 667443 757638 762792 889924 1010184 1144188 1334886 1515276 1557367 1779848 2002329 2288376 2669772 3030552 3114734 4004658 4672101 5339544 6229468 8009316 9344202 12458936 14016303 16018632 18688404 28032606 37376808 56065212 112130424