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330332132112312 = 2331141271112614353
BaseRepresentation
bin100101100011011110111000…
…1011001000111011110111000
31121022121102222020210210201010
41023012331301121013132320
5321244130201310043222
63130320253031153520
7126402465114431451
oct11306756131073670
91538542866723633
10330332132112312
11962880859223a0
12310706b68158a0
131124225668a175
145b802365b8128
15282ca6bbcc80c
hex12c6f716477b8

330332132112312 has 128 divisors (see below), whose sum is σ = 926284593669120. Its totient is φ = 97298800128000.

The previous prime is 330332132112263. The next prime is 330332132112341. The reversal of 330332132112312 is 213211231233033.

It is a self number, because there is not a number n which added to its sum of digits gives 330332132112312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53373873 + ... + 59240480.

It is an arithmetic number, because the mean of its divisors is an integer number (7236598388040).

Almost surely, 2330332132112312 is an apocalyptic number.

It is an amenable number.

330332132112312 is an abundant number, since it is smaller than the sum of its proper divisors (595952461556808).

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

330332132112312 is a wasteful number, since it uses less digits than its factorization.

330332132112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112614685 (or 112614681 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 330332132112312 its reverse (213211231233033), we get a palindrome (543543363345345).

The spelling of 330332132112312 in words is "three hundred thirty trillion, three hundred thirty-two billion, one hundred thirty-two million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 271 328 451 492 542 813 902 984 1084 1353 1626 1804 2168 2706 2981 3252 3608 5412 5962 6504 8943 10824 11111 11924 17886 22222 23848 33333 35772 44444 66666 71544 88888 122221 133332 244442 266664 366663 488884 733326 977768 1466652 2933304 112614353 225228706 337843059 450457412 675686118 900914824 1238757883 1351372236 2477515766 2702744472 3716273649 4617188473 4955031532 7432547298 9234376946 9910063064 13851565419 14865094596 18468753892 27703130838 29730189192 30518489663 36937507784 50789073203 55406261676 61036979326 91555468989 101578146406 110812523352 122073958652 152367219609 183110937978 203156292812 244147917304 304734439218 335703386293 366221875956 406312585624 609468878436 671406772586 732443751912 1007110158879 1218937756872 1251258076183 1342813545172 2014220317758 2502516152366 2685627090344 3753774228549 4028440635516 5005032304732 7507548457098 8056881271032 10010064609464 13763838838013 15015096914196 27527677676026 30030193828392 41291516514039 55055355352052 82583033028078 110110710704104 165166066056156 330332132112312