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12314124113330 = 251313119922716007
BaseRepresentation
bin1011001100110001101011…
…1111100101010110110010
31121121012220111000102121002
42303030122333211112302
53103223311233111310
642105010332002002
72410444321636004
oct263143277452662
947535814012532
1012314124113330
113a18433040536
12146a687300302
136b42a87645b0
143080148a4374
151654ba57bda5
hexb331afe55b2

12314124113330 has 128 divisors (see below), whose sum is σ = 24281549107200. Its totient is φ = 4469315685120.

The previous prime is 12314124113327. The next prime is 12314124113353. The reversal of 12314124113330 is 3331142141321.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12314124113293 and 12314124113302.

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, 769288187 + ... + 769304193.

It is an arithmetic number, because the mean of its divisors is an integer number (189699602400).

Almost surely, 212314124113330 is an apocalyptic number.

12314124113330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12314124113330 is a deficient number, since it is larger than the sum of its proper divisors (11967424993870).

12314124113330 is a wasteful number, since it uses less digits than its factorization.

12314124113330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16584.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 12314124113330 its reverse (3331142141321), we get a palindrome (15645266254651).

The spelling of 12314124113330 in words is "twelve trillion, three hundred fourteen billion, one hundred twenty-four million, one hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 5 10 13 26 65 130 131 199 227 262 398 454 655 995 1135 1310 1703 1990 2270 2587 2951 3406 5174 5902 8515 12935 14755 16007 17030 25870 26069 29510 29737 32014 45173 52138 59474 80035 90346 130345 148685 160070 208091 225865 260690 297370 338897 386581 416182 451730 587249 677794 773162 1040455 1174498 1694485 1932905 2080910 2096917 2936245 3185393 3388970 3633589 3865810 4193834 5872490 5917663 6370786 7267178 10484585 11835326 15926965 18167945 20969170 27259921 29588315 31853930 36335890 41410109 47236657 54519842 59176630 76929619 82820218 94473314 136299605 153859238 207050545 236183285 272599210 384648095 414101090 417286483 472366570 476000159 723084211 769296190 834572966 952000318 1446168422 2086432415 2380000795 3615421055 4172864830 4760001590 5424724279 6188002067 7230842110 9400094743 10849448558 12376004134 18800189486 27123621395 30940010335 47000473715 54247242790 61880020670 94000947430 94724031641 189448063282 473620158205 947240316410 1231412411333 2462824822666 6157062056665 12314124113330