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12002310230130 = 23251129291186373
BaseRepresentation
bin1010111010101000000101…
…1100000001000001110010
31120111102001122011221202100
42232222001130001001302
53033121212404331010
641305441334201230
72346065302442223
oct256520134010162
946442048157670
1012002310230130
113908173252a00
12141a1654b3216
13690a7520726c
142d6cb475124a
1515c31ab632c0
hexaea81701072

12002310230130 has 144 divisors (see below), whose sum is σ = 34337768414040. Its totient is φ = 2906516490240.

The previous prime is 12002310230081. The next prime is 12002310230191. The reversal of 12002310230130 is 3103201320021.

12002310230130 is a `hidden beast` number, since 1 + 20 + 0 + 2 + 310 + 2 + 301 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2118762626409 + 9883547603721 = 1455597^2 + 3143811^2 .

It is a super-3 number, since 3×120023102301303 (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9523624 + ... + 10709996.

Almost surely, 212002310230130 is an apocalyptic number.

12002310230130 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 12002310230130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17168884207020).

12002310230130 is an abundant number, since it is smaller than the sum of its proper divisors (22335458183910).

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

12002310230130 is a wasteful number, since it uses less digits than its factorization.

12002310230130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187337 (or 1187323 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12002310230130 its reverse (3103201320021), we get a palindrome (15105511550151).

The spelling of 12002310230130 in words is "twelve trillion, two billion, three hundred ten million, two hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 929 990 1089 1210 1815 1858 2178 2787 3630 4645 5445 5574 8361 9290 10219 10890 13935 16722 20438 27870 30657 41805 51095 61314 83610 91971 102190 112409 153285 183942 224818 306570 337227 459855 562045 674454 919710 1011681 1124090 1186373 1686135 2023362 2372746 3372270 3559119 5058405 5931865 7118238 10116810 10677357 11863730 13050103 17795595 21354714 26100206 35591190 39150309 53386785 65250515 78300618 106773570 117450927 130501030 143551133 195751545 234901854 287102266 391503090 430653399 587254635 717755665 861306798 1102140517 1174509270 1291960197 1435511330 2153266995 2204281034 2583920394 3306421551 4306533990 5510702585 6459800985 6612843102 9919264653 11021405170 12123545687 12919601970 16532107755 19838529306 24247091374 33064215510 36370637061 49596323265 60617728435 72741274122 99192646530 109111911183 121235456870 133359002557 181853185305 218223822366 266718005114 363706370610 400077007671 545559555915 666795012785 800154015342 1091119111830 1200231023013 1333590025570 2000385038355 2400462046026 4000770076710 6001155115065 12002310230130