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112203230304 = 25311221145779
BaseRepresentation
bin110100001111111010…
…1010110110001100000
3101201121122011200011110
41220133311112301200
53314243011332204
6123313452343320
711051333502264
oct1503765266140
9351548150143
10112203230304
1143648886700
12198b4774b40
13a771abc989
145605a620a4
152dba751889
hex1a1fd56c60

112203230304 has 144 divisors (see below), whose sum is σ = 325284845760. Its totient is φ = 33839097600.

The previous prime is 112203230267. The next prime is 112203230311. The reversal of 112203230304 is 403032302211.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2428087 + ... + 2473865.

It is an arithmetic number, because the mean of its divisors is an integer number (2258922540).

Almost surely, 2112203230304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112203230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162642422880).

112203230304 is an abundant number, since it is smaller than the sum of its proper divisors (213081615456).

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

112203230304 is a wasteful number, since it uses less digits than its factorization.

112203230304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46025 (or 46006 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 112203230304 its reverse (403032302211), we get a palindrome (515235532515).

The spelling of 112203230304 in words is "one hundred twelve billion, two hundred three million, two hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 211 242 264 352 363 422 484 528 633 726 844 968 1056 1266 1452 1688 1936 2321 2532 2904 3376 3872 4642 5064 5808 6752 6963 9284 10128 11616 13926 18568 20256 25531 27852 37136 45779 51062 55704 74272 76593 91558 102124 111408 137337 153186 183116 204248 222816 274674 306372 366232 408496 503569 549348 612744 732464 816992 1007138 1098696 1225488 1464928 1510707 2014276 2197392 2450976 3021414 4028552 4394784 5539259 6042828 8057104 9659369 11078518 12085656 16114208 16617777 19318738 22157036 24171312 28978107 33235554 38637476 44314072 48342624 57956214 66471108 77274952 88628144 106253059 115912428 132942216 154549904 177256288 212506118 231824856 265884432 309099808 318759177 425012236 463649712 531768864 637518354 850024472 927299424 1168783649 1275036708 1700048944 2337567298 2550073416 3400097888 3506350947 4675134596 5100146832 7012701894 9350269192 10200293664 14025403788 18700538384 28050807576 37401076768 56101615152 112203230304