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331123111020 = 2232513178323859
BaseRepresentation
bin1001101000110000111…
…10011011010001101100
31011122200112112212210200
410310120132123101230
520411120004023040
6412041005233500
732631353001342
oct4643036332154
91148615485720
10331123111020
11118479400259
1254210562890
13252bcaa6b30
14120527c3992
15892ebd6630
hex4d1879b46c

331123111020 has 144 divisors (see below), whose sum is σ = 1145296545120. Its totient is φ = 76712675328.

The previous prime is 331123111009. The next prime is 331123111043. The reversal of 331123111020 is 20111321133.

331123111020 is a `hidden beast` number, since 331 + 1 + 2 + 311 + 1 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331123110984 and 331123111002.

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 47 ways as a sum of consecutive naturals, for example, 4122150 + ... + 4201709.

It is an arithmetic number, because the mean of its divisors is an integer number (7953448230).

Almost surely, 2331123111020 is an apocalyptic number.

331123111020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331123111020 is an abundant number, since it is smaller than the sum of its proper divisors (814173434100).

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

331123111020 is a wasteful number, since it uses less digits than its factorization.

331123111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8323904 (or 8323899 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 331123111020 its reverse (20111321133), we get a palindrome (351234432153).

The spelling of 331123111020 in words is "three hundred thirty-one billion, one hundred twenty-three million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 39780 8323859 16647718 24971577 33295436 41619295 49943154 74914731 83238590 99886308 108210167 124857885 141505603 149829462 166477180 216420334 249715770 283011206 299658924 324630501 374573655 424516809 432840668 499431540 541050835 566022412 649261002 707528015 749147310 849033618 973891503 1082101670 1273550427 1298522004 1415056030 1498294620 1623152505 1698067236 1839572839 1947783006 2122584045 2164203340 2547100854 2830112060 3246305010 3679145678 3895566012 4245168090 4869457515 5094201708 5518718517 6367752135 6492610020 7358291356 8490336180 9197864195 9738915030 11037437034 12735504270 16556155551 18395728390 19477830060 22074874068 25471008540 27593592585 33112311102 36791456780 55187185170 66224622204 82780777755 110374370340 165561555510 331123111020