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112124430 = 232511373061
BaseRepresentation
bin1101010111011…
…10001000001110
321210222111210200
412223232020032
5212200440210
615043114330
72531020245
oct653561016
9253874720
10112124430
1158322820
12316729a6
131a2ca322
1410c6995c
159c9c0c0
hex6aee20e

112124430 has 96 divisors (see below), whose sum is σ = 326727648. Its totient is φ = 26438400.

The previous prime is 112124429. The next prime is 112124447. The reversal of 112124430 is 34421211.

112124430 is a `hidden beast` number, since 11 + 212 + 443 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35100 + ... + 38160.

It is an arithmetic number, because the mean of its divisors is an integer number (3403413).

Almost surely, 2112124430 is an apocalyptic number.

112124430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112124430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163363824).

112124430 is an abundant number, since it is smaller than the sum of its proper divisors (214603218).

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

112124430 is a wasteful number, since it uses less digits than its factorization.

112124430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3119 counting only the distinct ones).

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

The square root of 112124430 is about 10588.8823772861. The cubic root of 112124430 is about 482.2068951038.

Adding to 112124430 its reverse (34421211), we get a palindrome (146545641).

The spelling of 112124430 in words is "one hundred twelve million, one hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3061 3330 3663 4070 6105 6122 7326 9183 12210 15305 18315 18366 27549 30610 33671 36630 45915 55098 67342 91830 101013 113257 137745 168355 202026 226514 275490 303039 336710 339771 505065 566285 606078 679542 1010130 1019313 1132570 1245827 1515195 1698855 2038626 2491654 3030390 3397710 3737481 5096565 6229135 7474962 10193130 11212443 12458270 18687405 22424886 37374810 56062215 112124430