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112004100 = 223352133191
BaseRepresentation
bin1101010110100…
…00110000000100
321210202101202000
412223100300010
5212133112400
615040345300
72530006365
oct653206004
9253671660
10112004100
115825037a
1231615230
131a287620
1410c37b6c
159c76600
hex6ad0c04

112004100 has 144 divisors (see below), whose sum is σ = 387891840. Its totient is φ = 27561600.

The previous prime is 112004047. The next prime is 112004159. The reversal of 112004100 is 1400211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 33505 + ... + 36695.

Almost surely, 2112004100 is an apocalyptic number.

112004100 is a gapful number since it is divisible by the number (10) 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 112004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193945920).

112004100 is an abundant number, since it is smaller than the sum of its proper divisors (275887740).

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

112004100 is a wasteful number, since it uses less digits than its factorization.

112004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 112004100 is about 10583.1989492780. The cubic root of 112004100 is about 482.0343346581.

Adding to 112004100 its reverse (1400211), we get a palindrome (113404311).

The spelling of 112004100 in words is "one hundred twelve million, four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 90 100 108 117 130 135 150 156 180 195 225 234 260 270 300 325 351 390 450 468 540 585 650 675 702 780 900 975 1170 1300 1350 1404 1755 1950 2340 2700 2925 3191 3510 3900 5850 6382 7020 8775 9573 11700 12764 15955 17550 19146 28719 31910 35100 38292 41483 47865 57438 63820 79775 82966 86157 95730 114876 124449 143595 159550 165932 172314 191460 207415 239325 248898 287190 319100 344628 373347 414830 430785 478650 497796 574380 622245 717975 746694 829660 861570 957300 1037075 1120041 1244490 1435950 1493388 1723140 1866735 2074150 2153925 2240082 2488980 2871900 3111225 3733470 4148300 4307850 4480164 5600205 6222450 7466940 8615700 9333675 11200410 12444900 18667350 22400820 28001025 37334700 56002050 112004100