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112143001120 = 25517326915061
BaseRepresentation
bin110100001110000111…
…1100110011000100000
3101201110102211201020221
41220130033212120200
53314132102013440
6123303501412424
711050002532063
oct1503417463040
9351412751227
10112143001120
1143617889617
121989856a114
13a7624925c7
1455dba648da
152db5305d4a
hex1a1c3e6620

112143001120 has 96 divisors (see below), whose sum is σ = 267477623280. Its totient is φ = 44429168640.

The previous prime is 112143001097. The next prime is 112143001121. The reversal of 112143001120 is 21100341211.

It can be written as a sum of positive squares in 8 ways, for example, as 61875567504 + 50267433616 = 248748^2 + 224204^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112143001094 and 112143001103.

It is not an unprimeable number, because it can be changed into a prime (112143001121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7438390 + ... + 7453450.

Almost surely, 2112143001120 is an apocalyptic number.

112143001120 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 112143001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133738811640).

112143001120 is an abundant number, since it is smaller than the sum of its proper divisors (155334622160).

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

112143001120 is a wasteful number, since it uses less digits than its factorization.

112143001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15518 (or 15510 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 112143001120 its reverse (21100341211), we get a palindrome (133243342331).

The spelling of 112143001120 in words is "one hundred twelve billion, one hundred forty-three million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 173 269 346 538 692 865 1076 1345 1384 1730 2152 2690 2768 3460 4304 5380 5536 6920 8608 10760 13840 15061 21520 27680 30122 43040 46537 60244 75305 93074 120488 150610 186148 232685 240976 301220 372296 465370 481952 602440 744592 930740 1204880 1489184 1861480 2409760 2605553 3722960 4051409 5211106 7445920 8102818 10422212 13027765 16205636 20257045 20844424 26055530 32411272 40514090 41688848 52111060 64822544 81028180 83377696 104222120 129645088 162056360 208444240 324112720 416888480 648225440 700893757 1401787514 2803575028 3504468785 5607150056 7008937570 11214300112 14017875140 22428600224 28035750280 56071500560 112143001120