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12302312412340 = 22517213715535969
BaseRepresentation
bin1011001100000101101011…
…1101100001010010110100
31121120002102022012211221001
42303001122331201102310
53103030113434143330
642055334310133044
72406545525063656
oct263013275412264
947502368184831
1012302312412340
113a134216aa785
12146832b651184
136b314561b202
14307613ca06d6
151650286039ca
hexb305af614b4

12302312412340 has 72 divisors (see below), whose sum is σ = 27644270010840. Its totient is φ = 4597652226048.

The previous prime is 12302312412319. The next prime is 12302312412361. The reversal of 12302312412340 is 4321421320321.

It is an interprime number because it is at equal distance from previous prime (12302312412319) and next prime (12302312412361).

It can be written as a sum of positive squares in 12 ways, for example, as 153267552036 + 12149044860304 = 391494^2 + 3485548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12302312412299 and 12302312412308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6976125 + ... + 8559844.

It is an arithmetic number, because the mean of its divisors is an integer number (383948194595).

Almost surely, 212302312412340 is an apocalyptic number.

12302312412340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12302312412340 is an abundant number, since it is smaller than the sum of its proper divisors (15341957598500).

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

12302312412340 is a wasteful number, since it uses less digits than its factorization.

12302312412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15536149 (or 15536130 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 12302312412340 its reverse (4321421320321), we get a palindrome (16623733732661).

The spelling of 12302312412340 in words is "twelve trillion, three hundred two billion, three hundred twelve million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 137 170 274 289 340 548 578 685 1156 1370 1445 2329 2740 2890 4658 5780 9316 11645 23290 39593 46580 79186 158372 197965 395930 791860 15535969 31071938 62143876 77679845 155359690 264111473 310719380 528222946 1056445892 1320557365 2128427753 2641114730 4256855506 4489895041 5282229460 8513711012 8979790082 10642138765 17959580164 21284277530 22449475205 36183271801 42568555060 44898950410 72366543602 89797900820 144733087204 180916359005 361832718010 615115620617 723665436020 1230231241234 2460462482468 3075578103085 6151156206170 12302312412340