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112313143140 = 223511192471389
BaseRepresentation
bin110100010011001100…
…0101000111101100100
3101201220021222211020020
41220212120220331210
53320004131040030
6123332420235140
711054136652002
oct1504630507544
9351807884206
10112313143140
11436a4928860
121992553bab0
13a78b7c4463
1456164b3a72
152dc5213510
hex1a26628f64

112313143140 has 144 divisors (see below), whose sum is σ = 362072773440. Its totient is φ = 25794351360.

The previous prime is 112313143093. The next prime is 112313143147. The reversal of 112313143140 is 41341313211.

It is a happy number.

It is a super-2 number, since 2×1123131431402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112313143140.

It is not an unprimeable number, because it can be changed into a prime (112313143147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2566 + ... + 473954.

It is an arithmetic number, because the mean of its divisors is an integer number (2514394260).

Almost surely, 2112313143140 is an apocalyptic number.

112313143140 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 112313143140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181036386720).

112313143140 is an abundant number, since it is smaller than the sum of its proper divisors (249759630300).

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

112313143140 is a wasteful number, since it uses less digits than its factorization.

112313143140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471450 (or 471429 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 112313143140 its reverse (41341313211), we get a palindrome (153654456351).

The spelling of 112313143140 in words is "one hundred twelve billion, three hundred thirteen million, one hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 361 380 418 570 627 660 722 836 1045 1083 1140 1254 1444 1805 2090 2166 2508 3135 3610 3971 4180 4332 5415 6270 7220 7942 10830 11913 12540 15884 19855 21660 23826 39710 47652 59565 79420 119130 238260 471389 942778 1414167 1885556 2356945 2828334 4713890 5185279 5656668 7070835 8956391 9427780 10370558 14141670 15555837 17912782 20741116 25926395 26869173 28283340 31111674 35825564 44781955 51852790 53738346 62223348 77779185 89563910 98520301 103705580 107476692 134345865 155558370 170171429 179127820 197040602 268691730 295560903 311116740 340342858 394081204 492601505 510514287 537383460 591121806 680685716 850857145 985203010 1021028574 1182243612 1477804515 1701714290 1871885719 1970406020 2042057148 2552571435 2955609030 3403428580 3743771438 5105142870 5615657157 5911218060 7487542876 9359428595 10210285740 11231314314 18718857190 22462628628 28078285785 37437714380 56156571570 112313143140