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112203313320 = 23357314308883
BaseRepresentation
bin110100001111111010…
…1101011000010101000
3101201121122022220001010
41220133311223002220
53314243022011240
6123313454223520
711051334266310
oct1503765530250
9351548286033
10112203313320
114364893300a
12198b47b4ba0
13a771b1b6b7
145605a84440
152dba76b280
hex1a1fd6b0a8

112203313320 has 128 divisors (see below), whose sum is σ = 397106749440. Its totient is φ = 24819160320.

The previous prime is 112203313309. The next prime is 112203313357. The reversal of 112203313320 is 23313302211.

112203313320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128402 + ... + 2180481.

It is an arithmetic number, because the mean of its divisors is an integer number (3102396480).

Almost surely, 2112203313320 is an apocalyptic number.

112203313320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112203313320 is an abundant number, since it is smaller than the sum of its proper divisors (284903436120).

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

112203313320 is a wasteful number, since it uses less digits than its factorization.

112203313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308935 (or 4308931 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 112203313320 its reverse (23313302211), we get a palindrome (135516615531).

The spelling of 112203313320 in words is "one hundred twelve billion, two hundred three million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5208 6510 8680 13020 26040 4308883 8617766 12926649 17235532 21544415 25853298 30162181 34471064 43088830 51706596 60324362 64633245 86177660 90486543 103413192 120648724 129266490 133575373 150810905 172355320 180973086 241297448 258532980 267150746 301621810 361946172 400726119 452432715 517065960 534301492 603243620 667876865 723892344 801452238 904865430 935027611 1068602984 1206487240 1335753730 1602904476 1809730860 1870055222 2003630595 2671507460 2805082833 3205808952 3619461720 3740110444 4007261190 4675138055 5343014920 5610165666 7480220888 8014522380 9350276110 11220331332 14025414165 16029044760 18700552220 22440662664 28050828330 37401104440 56101656660 112203313320