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112243104 = 2533163797
BaseRepresentation
bin1101011000010…
…11000110100000
321211012112121000
412230023012200
5212213234404
615045432000
72532023241
oct654130640
9254175530
10112243104
11583a39a6
123170b600
131a33c34c
1410c9acc8
159cc2339
hex6b0b1a0

112243104 has 96 divisors (see below), whose sum is σ = 329797440. Its totient is φ = 37138176.

The previous prime is 112243067. The next prime is 112243133. The reversal of 112243104 is 401342211.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 140434 + ... + 141230.

It is an arithmetic number, because the mean of its divisors is an integer number (3435390).

Almost surely, 2112243104 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 112243104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164898720).

112243104 is an abundant number, since it is smaller than the sum of its proper divisors (217554336).

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

112243104 is a wasteful number, since it uses less digits than its factorization.

112243104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 965 counting only the distinct ones).

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

The square root of 112243104 is about 10594.4846028488. The cubic root of 112243104 is about 482.3769598659.

Adding to 112243104 its reverse (401342211), we get a palindrome (513585315).

The spelling of 112243104 in words is "one hundred twelve million, two hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 163 216 288 326 432 489 652 797 864 978 1304 1467 1594 1956 2391 2608 2934 3188 3912 4401 4782 5216 5868 6376 7173 7824 8802 9564 11736 12752 14346 15648 17604 19128 21519 23472 25504 28692 35208 38256 43038 46944 57384 70416 76512 86076 114768 129911 140832 172152 229536 259822 344304 389733 519644 688608 779466 1039288 1169199 1558932 2078576 2338398 3117864 3507597 4157152 4676796 6235728 7015194 9353592 12471456 14030388 18707184 28060776 37414368 56121552 112243104