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12313533330 = 2345717127747
BaseRepresentation
bin10110111011111000…
…11001101110010010
31011210011002022020000
423131330121232102
5200204231031310
65353505430430
7614066210040
oct133574315622
934704068200
1012313533330
11524973992a
12247793b416
1312130c04c7
1484b515390
154c10544c0
hex2ddf19b92

12313533330 has 160 divisors (see below), whose sum is σ = 40065860736. Its totient is φ = 2648941056.

The previous prime is 12313533307. The next prime is 12313533359. The reversal of 12313533330 is 3333531321.

12313533330 is a `hidden beast` number, since 12 + 313 + 5 + 3 + 3 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12313533294 and 12313533303.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32517 + ... + 160263.

Almost surely, 212313533330 is an apocalyptic number.

12313533330 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 12313533330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20032930368).

12313533330 is an abundant number, since it is smaller than the sum of its proper divisors (27752327406).

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

12313533330 is a wasteful number, since it uses less digits than its factorization.

12313533330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127790 (or 127781 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 27.

The spelling of 12313533330 in words is "twelve billion, three hundred thirteen million, five hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 81 85 90 102 105 119 126 135 153 162 170 189 210 238 255 270 306 315 357 378 405 459 510 567 595 630 714 765 810 918 945 1071 1134 1190 1377 1530 1785 1890 2142 2295 2754 2835 3213 3570 4590 5355 5670 6426 6885 9639 10710 13770 16065 19278 32130 48195 96390 127747 255494 383241 638735 766482 894229 1149723 1277470 1788458 1916205 2171699 2299446 2682687 3449169 3832410 4343398 4471145 5365374 5748615 6515097 6898338 8048061 8942290 10347507 10858495 11497230 13030194 13413435 15201893 16096122 17245845 19545291 20695014 21716990 24144183 26826870 30403786 32575485 34491690 39090582 40240305 45605679 48288366 51737535 58635873 65150970 72432549 76009465 80480610 91211358 97726455 103475070 117271746 120720915 136817037 144865098 152018930 175907619 195452910 228028395 241441830 273634074 293179365 351815238 362162745 410451111 456056790 586358730 684085185 724325490 820902222 879538095 1231353333 1368170370 1759076190 2052255555 2462706666 4104511110 6156766665 12313533330