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12332321330010 = 2351140998392951
BaseRepresentation
bin1011001101110101011110…
…1000011101001101011010
31121122221212200021211001020
42303131113220131031122
53104023043230030020
642121220141303310
72411660263503603
oct263352750351532
947587780254036
1012332321330010
113a25120984790
121472105564b36
136b5c187b6326
14308c5d58adaa
15165bd2ddec40
hexb3757a1d35a

12332321330010 has 128 divisors (see below), whose sum is σ = 32400479416320. Its totient is φ = 2979278016000.

The previous prime is 12332321329981. The next prime is 12332321330027. The reversal of 12332321330010 is 1003312323321.

It is a super-2 number, since 2×123323213300102 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132629035 + ... + 132721985.

It is an arithmetic number, because the mean of its divisors is an integer number (253128745440).

Almost surely, 212332321330010 is an apocalyptic number.

12332321330010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12332321330010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16200239708160).

12332321330010 is an abundant number, since it is smaller than the sum of its proper divisors (20068158086310).

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

12332321330010 is a wasteful number, since it uses less digits than its factorization.

12332321330010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94364.

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

Adding to 12332321330010 its reverse (1003312323321), we get a palindrome (13335633653331).

The spelling of 12332321330010 in words is "twelve trillion, three hundred thirty-two billion, three hundred twenty-one million, three hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 409 818 983 1227 1966 2045 2454 2949 4090 4499 4915 5898 6135 8998 9830 10813 12270 13497 14745 21626 22495 26994 29490 32439 44990 54065 64878 67485 92951 108130 134970 162195 185902 278853 324390 402047 464755 557706 804094 929510 1022461 1206141 1394265 2010235 2044922 2412282 2788530 3067383 4020470 4422517 5112305 6030705 6134766 8845034 10224610 12061410 13267551 15336915 22112585 26535102 30673830 38016959 44225170 66337755 76033918 91370833 114050877 132675510 182741666 190084795 228101754 274112499 380169590 418186549 456854165 548224998 570254385 836373098 913708330 1005079163 1140508770 1254559647 1370562495 2010158326 2090932745 2509119294 2741124990 3015237489 4181865490 5025395815 6030474978 6272798235 10050791630 12545596470 15076187445 30152374890 37370670697 74741341394 112112012091 186853353485 224224024182 373706706970 411077377667 560560060455 822154755334 1121120120910 1233232133001 2055386888335 2466464266002 4110773776670 6166160665005 12332321330010