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112011120 = 24335133989
BaseRepresentation
bin1101010110100…
…10011101110000
321210202202101000
412223102131300
5212133323440
615040442000
72530036014
oct653223560
9253682330
10112011120
1158255681
1231619300
131a28a890
1410c3a544
159c78730
hex6ad2770

112011120 has 160 divisors (see below), whose sum is σ = 415598400. Its totient is φ = 27565056.

The previous prime is 112011103. The next prime is 112011143. The reversal of 112011120 is 21110211.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26086 + ... + 30074.

It is an arithmetic number, because the mean of its divisors is an integer number (2597490).

Almost surely, 2112011120 is an apocalyptic number.

112011120 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 112011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207799200).

112011120 is an abundant number, since it is smaller than the sum of its proper divisors (303587280).

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

112011120 is a wasteful number, since it uses less digits than its factorization.

112011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 112011120 is about 10583.5306018360. The cubic root of 112011120 is about 482.0444051535.

Adding to 112011120 its reverse (21110211), we get a palindrome (133121331).

Subtracting from 112011120 its reverse (21110211), we obtain a palindrome (90900909).

It can be divided in two parts, 11201 and 1120, that added together give a palindrome (12321).

The spelling of 112011120 in words is "one hundred twelve million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 3989 4680 5616 7020 7978 9360 11967 14040 15956 19945 23934 28080 31912 35901 39890 47868 51857 59835 63824 71802 79780 95736 103714 107703 119670 143604 155571 159560 179505 191472 207428 215406 239340 259285 287208 311142 319120 359010 414856 430812 466713 478680 518570 538515 574416 622284 718020 777855 829712 861624 933426 957360 1037140 1077030 1244568 1400139 1436040 1555710 1723248 1866852 2074280 2154060 2333565 2489136 2800278 2872080 3111420 3733704 4148560 4308120 4667130 5600556 6222840 7000695 7467408 8616240 9334260 11201112 12445680 14001390 18668520 22402224 28002780 37337040 56005560 112011120