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112308120 = 23345172039
BaseRepresentation
bin1101011000110…
…10111110011000
321211022211210000
412230122332120
5212222324440
615051053000
72532413631
oct654327630
9254284700
10112308120
1158438831
1231741160
131a362b12
1410cb6888
159cd6730
hex6b1af98

112308120 has 160 divisors (see below), whose sum is σ = 399880800. Its totient is φ = 28173312.

The previous prime is 112308109. The next prime is 112308139. The reversal of 112308120 is 21803211.

It is a super-2 number, since 2×1123081202 = 25226227635868800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112308093 and 112308102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54061 + ... + 56099.

It is an arithmetic number, because the mean of its divisors is an integer number (2499255).

Almost surely, 2112308120 is an apocalyptic number.

112308120 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 112308120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199940400).

112308120 is an abundant number, since it is smaller than the sum of its proper divisors (287572680).

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

112308120 is a wasteful number, since it uses less digits than its factorization.

112308120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 112308120 is about 10597.5525476404. The cubic root of 112308120 is about 482.4700796681.

The spelling of 112308120 in words is "one hundred twelve million, three hundred eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2039 2040 2295 2754 3060 3240 3672 4078 4590 5508 6117 6120 6885 8156 9180 10195 11016 12234 13770 16312 18351 18360 20390 24468 27540 30585 34663 36702 40780 48936 55053 55080 61170 69326 73404 81560 91755 103989 110106 122340 138652 146808 165159 173315 183510 207978 220212 244680 275265 277304 311967 330318 346630 367020 415956 440424 519945 550530 623934 660636 693260 734040 825795 831912 935901 1039890 1101060 1247868 1321272 1386520 1559835 1651590 1871802 2079780 2202120 2495736 2807703 3119670 3303180 3743604 4159560 4679505 5615406 6239340 6606360 7487208 9359010 11230812 12478680 14038515 18718020 22461624 28077030 37436040 56154060 112308120