Search a number
-
+
12331331002320 = 2435118356276611
BaseRepresentation
bin1011001101110001110010…
…0110101001111111010000
31121122212022122210221211220
42303130130212221333100
53104014031214033240
642120534003205040
72411623610036061
oct263343446517720
947585278727756
1012331331002320
113a24762967950
121471a89976780
136b5abb584805
14308ba7c3a568
15165b75ebe5d0
hexb371c9a9fd0

12331331002320 has 160 divisors (see below), whose sum is σ = 42204757722624. Its totient is φ = 2953396492800.

The previous prime is 12331331002307. The next prime is 12331331002337. The reversal of 12331331002320 is 2320013313321.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 27919186 + ... + 28357425.

Almost surely, 212331331002320 is an apocalyptic number.

12331331002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12331331002320 is an abundant number, since it is smaller than the sum of its proper divisors (29873426720304).

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

12331331002320 is a wasteful number, since it uses less digits than its factorization.

12331331002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56276721 (or 56276715 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12331331002320 its reverse (2320013313321), we get a palindrome (14651344315641).

The spelling of 12331331002320 in words is "twelve trillion, three hundred thirty-one billion, three hundred thirty-one million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 83 88 110 120 132 165 166 176 220 240 249 264 330 332 415 440 498 528 660 664 830 880 913 996 1245 1320 1328 1660 1826 1992 2490 2640 2739 3320 3652 3984 4565 4980 5478 6640 7304 9130 9960 10956 13695 14608 18260 19920 21912 27390 36520 43824 54780 73040 109560 219120 56276611 112553222 168829833 225106444 281383055 337659666 450212888 562766110 619042721 675319332 844149165 900425776 1125532220 1238085442 1350638664 1688298330 1857128163 2251064440 2476170884 2701277328 3095213605 3376596660 3714256326 4502128880 4670958713 4952341768 6190427210 6753193320 7428512652 9285640815 9341917426 9904683536 12380854420 13506386640 14012876139 14857025304 18571281630 18683834852 23354793565 24761708840 28025752278 29714050608 37142563260 37367669704 46709587130 49523417680 51380545843 56051504556 70064380695 74285126520 74735339408 93419174260 102761091686 112103009112 140128761390 148570253040 154141637529 186838348520 205522183372 224206018224 256902729215 280257522780 308283275058 373676697040 411044366744 513805458430 560515045560 616566550116 770708187645 822088733488 1027610916860 1121030091120 1233133100232 1541416375290 2055221833720 2466266200464 3082832750580 4110443667440 6165665501160 12331331002320