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12313341106410 = 23517141833170227
BaseRepresentation
bin1011001100101110110001…
…0100101001100011101010
31121121010212220122120000210
42303023230110221203222
53103220210310401120
642104400521241550
72410416033326001
oct263135424514352
947533786576023
1012313341106410
113a18071056883
12146a4a90332b6
136b41b24812a6
14307d7c8bdc38
1516547195ece0
hexb32ec5298ea

12313341106410 has 64 divisors (see below), whose sum is σ = 31290777124992. Its totient is φ = 3090367236096.

The previous prime is 12313341106397. The next prime is 12313341106439. The reversal of 12313341106410 is 1460114331321.

12313341106410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72249717 + ... + 72419943.

It is an arithmetic number, because the mean of its divisors is an integer number (488918392578).

Almost surely, 212313341106410 is an apocalyptic number.

12313341106410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12313341106410 is an abundant number, since it is smaller than the sum of its proper divisors (18977436018582).

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

12313341106410 is a wasteful number, since it uses less digits than its factorization.

12313341106410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312087.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 12313341106410 its reverse (1460114331321), we get a palindrome (13773455437731).

The spelling of 12313341106410 in words is "twelve trillion, three hundred thirteen billion, three hundred forty-one million, one hundred six thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 141833 170227 283666 340454 425499 510681 709165 850998 851135 1021362 1418330 1702270 2127495 2411161 2553405 2893859 4254990 4822322 5106810 5787718 7233483 8681577 12055805 14466966 14469295 17363154 24111610 28938590 36167415 43407885 72334830 86815770 24143806091 48287612182 72431418273 120719030455 144862836546 241438060910 362157091365 410444703547 724314182730 820889407094 1231334110641 2052223517735 2462668221282 4104447035470 6156670553205 12313341106410