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112146928300 = 225211439724443
BaseRepresentation
bin110100001110001111…
…0100101001010101100
3101201110201020020100001
41220130132211022230
53314134103201200
6123304121514044
711050051106431
oct1503436451254
9351421206301
10112146928300
114361a021120
1219899942924
13a763238c94
1455dc3a7b88
152db582e76a
hex1a1c7a52ac

112146928300 has 144 divisors (see below), whose sum is σ = 274468182912. Its totient is φ = 39420057600.

The previous prime is 112146928297. The next prime is 112146928351. The reversal of 112146928300 is 3829641211.

It is a self number, because there is not a number n which added to its sum of digits gives 112146928300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4575879 + ... + 4600321.

It is an arithmetic number, because the mean of its divisors is an integer number (1906029048).

Almost surely, 2112146928300 is an apocalyptic number.

112146928300 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 112146928300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137234091456).

112146928300 is an abundant number, since it is smaller than the sum of its proper divisors (162321254612).

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

112146928300 is a wasteful number, since it uses less digits than its factorization.

112146928300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24608 (or 24601 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 112146928300 in words is "one hundred twelve billion, one hundred forty-six million, nine hundred twenty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 97 100 110 172 194 215 220 275 388 430 473 485 550 860 946 970 1067 1075 1100 1892 1940 2134 2150 2365 2425 4171 4268 4300 4730 4850 5335 8342 9460 9700 10670 11825 16684 20855 21340 23650 24443 26675 41710 45881 47300 48886 53350 83420 91762 97772 104275 106700 122215 183524 208550 229405 244430 268873 417100 458810 488860 537746 611075 917620 1051049 1075492 1147025 1222150 1344365 2102098 2294050 2370971 2444300 2688730 4204196 4588100 4741942 5255245 5377460 6721825 9483884 10510490 11561539 11854855 13443650 21020980 23123078 23709710 26080681 26276225 26887300 46246156 47419420 52161362 52552450 57807695 59274275 101951753 104322724 105104900 115615390 118548550 130403405 203903506 231230780 237097100 260806810 289038475 407807012 509758765 521613620 578076950 652017025 1019517530 1121469283 1156153900 1304034050 2039035060 2242938566 2548793825 2608068100 4485877132 5097587650 5607346415 10195175300 11214692830 22429385660 28036732075 56073464150 112146928300