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112011203200 = 2752132692577
BaseRepresentation
bin110100001010001100…
…0110101001010000000
3101201010020211200111111
41220110120311022000
53313344332000300
6123242432453104
711043512342431
oct1502430651200
9351106750444
10112011203200
114355a449916
12198603aa194
13a741097680
1455c8357488
152da896e9ba
hex1a14635280

112011203200 has 96 divisors (see below), whose sum is σ = 297987607260. Its totient is φ = 41357967360.

The previous prime is 112011203191. The next prime is 112011203203. The reversal of 112011203200 is 2302110211.

It can be written as a sum of positive squares in 6 ways, for example, as 27441910336 + 84569292864 = 165656^2 + 290808^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (112011203203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1304689 + ... + 1387888.

Almost surely, 2112011203200 is an apocalyptic number.

112011203200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112011203200 is an abundant number, since it is smaller than the sum of its proper divisors (185976404060).

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

112011203200 is a wasteful number, since it uses less digits than its factorization.

112011203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692614 (or 2692597 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 112011203200 its reverse (2302110211), we get a palindrome (114313313411).

The spelling of 112011203200 in words is "one hundred twelve billion, eleven million, two hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 260 320 325 400 416 520 640 650 800 832 1040 1300 1600 1664 2080 2600 3200 4160 5200 8320 10400 20800 41600 2692577 5385154 10770308 13462885 21540616 26925770 35003501 43081232 53851540 67314425 70007002 86162464 107703080 134628850 140014004 172324928 175017505 215406160 269257700 280028008 344649856 350035010 430812320 538515400 560056016 700070020 861624640 875087525 1077030800 1120112032 1400140040 1723249280 1750175050 2154061600 2240224064 2800280080 3500350100 4308123200 4480448128 5600560160 7000700200 8616246400 11201120320 14001400400 22402240640 28002800800 56005601600 112011203200