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112140120 = 23354759337
BaseRepresentation
bin1101010111100…
…01111101011000
321211000022022210
412223301331120
5212201440440
615043315120
72531114061
oct653617530
9254008283
10112140120
1158333594
123167baa0
131a304501
1410c71568
159ca1a80
hex6af1f58

112140120 has 128 divisors (see below), whose sum is σ = 350438400. Its totient is φ = 28686336.

The previous prime is 112140101. The next prime is 112140137. The reversal of 112140120 is 21041211.

It is a happy number.

It is a super-2 number, since 2×1121401202 = 25150813027228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112140096 and 112140105.

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, 332592 + ... + 332928.

It is an arithmetic number, because the mean of its divisors is an integer number (2737800).

Almost surely, 2112140120 is an apocalyptic number.

112140120 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 112140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175219200).

112140120 is an abundant number, since it is smaller than the sum of its proper divisors (238298280).

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

112140120 is a wasteful number, since it uses less digits than its factorization.

112140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 112140120 is about 10589.6232227592. The cubic root of 112140120 is about 482.2293864059.

Adding to 112140120 its reverse (21041211), we get a palindrome (133181331).

The spelling of 112140120 in words is "one hundred twelve million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 59 60 94 118 120 141 177 188 235 236 282 295 337 354 376 470 472 564 590 674 705 708 885 940 1011 1128 1180 1348 1410 1416 1685 1770 1880 2022 2360 2696 2773 2820 3370 3540 4044 5055 5546 5640 6740 7080 8088 8319 10110 11092 13480 13865 15839 16638 19883 20220 22184 27730 31678 33276 39766 40440 41595 47517 55460 59649 63356 66552 79195 79532 83190 95034 99415 110920 119298 126712 158390 159064 166380 190068 198830 237585 238596 298245 316780 332760 380136 397660 475170 477192 596490 633560 795320 934501 950340 1192980 1869002 1900680 2385960 2803503 3738004 4672505 5607006 7476008 9345010 11214012 14017515 18690020 22428024 28035030 37380040 56070060 112140120