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112144041022200 = 233521116991521367
BaseRepresentation
bin11001011111111010010001…
…101110101001001011111000
3112201001212101000222201011020
4121133322101232221023320
5104144331444000202300
61034302132231502440
732423065610514015
oct3137722156511370
9481055330881136
10112144041022200
1132807025627990
12106b2324527a20
134a761a36800c5
141d99b2c9b070c
15ce71cd08b8a0
hex65fe91ba92f8

112144041022200 has 96 divisors (see below), whose sum is σ = 379250756933760. Its totient is φ = 27186434185600.

The previous prime is 112144041022103. The next prime is 112144041022201. The reversal of 112144041022200 is 2220140441211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112144041022201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8495754084 + ... + 8495767283.

It is an arithmetic number, because the mean of its divisors is an integer number (3950528718060).

Almost surely, 2112144041022200 is an apocalyptic number.

112144041022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112144041022200 is an abundant number, since it is smaller than the sum of its proper divisors (267106715911560).

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

112144041022200 is a wasteful number, since it uses less digits than its factorization.

112144041022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16991521397 (or 16991521388 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 112144041022200 its reverse (2220140441211), we get a palindrome (114364181463411).

The spelling of 112144041022200 in words is "one hundred twelve trillion, one hundred forty-four billion, forty-one million, twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 16991521367 33983042734 50974564101 67966085468 84957606835 101949128202 135932170936 169915213670 186906735037 203898256404 254872820505 339830427340 373813470074 407796512808 424788034175 509745641010 560720205111 679660854680 747626940148 849576068350 934533675185 1019491282020 1121440410222 1274364102525 1495253880296 1699152136700 1869067350370 2038982564040 2242880820444 2548728205050 2803601025555 3398304273400 3738134700740 4485761640888 4672668375925 5097456410100 5607202051110 7476269401480 9345336751850 10194912820200 11214404102220 14018005127775 18690673503700 22428808204440 28036010255550 37381347007400 56072020511100 112144041022200