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112124401224 = 23311242191711
BaseRepresentation
bin110100001101100100…
…0101001011001001000
3101201102010211201222220
41220123020221121020
53314112321314344
6123301555014040
711046355454013
oct1503310513110
9351363751886
10112124401224
1143608335200
121989229a320
13a75b67c554
1455d93c237a
152db387ec19
hex1a1b229648

112124401224 has 96 divisors (see below), whose sum is σ = 308845662720. Its totient is φ = 33896016000.

The previous prime is 112124401223. The next prime is 112124401229. The reversal of 112124401224 is 422104421211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 112124401194 and 112124401203.

It is not an unprimeable number, because it can be changed into a prime (112124401223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1176729 + ... + 1268439.

It is an arithmetic number, because the mean of its divisors is an integer number (3217142320).

Almost surely, 2112124401224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112124401224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154422831360).

112124401224 is an abundant number, since it is smaller than the sum of its proper divisors (196721261496).

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

112124401224 is a wasteful number, since it uses less digits than its factorization.

112124401224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92163 (or 92148 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 112124401224 its reverse (422104421211), we get a palindrome (534228822435).

The spelling of 112124401224 in words is "one hundred twelve billion, one hundred twenty-four million, four hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 421 484 726 842 968 1263 1452 1684 2526 2904 3368 4631 5052 9262 10104 13893 18524 27786 37048 50941 55572 91711 101882 111144 152823 183422 203764 275133 305646 366844 407528 550266 611292 733688 1008821 1100532 1222584 2017642 2201064 3026463 4035284 6052926 8070568 11097031 12105852 22194062 24211704 33291093 38610331 44388124 66582186 77220662 88776248 115830993 133164372 154441324 231661986 266328744 308882648 424713641 463323972 849427282 926647944 1274140923 1698854564 2548281846 3397709128 4671850051 5096563692 9343700102 10193127384 14015550153 18687400204 28031100306 37374800408 56062200612 112124401224