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113323112220012 = 223291813115784959
BaseRepresentation
bin11001110001000100010111…
…110110010100010101101100
3112212020120202112110111210220
4121301010113312110111230
5104323141213212020022
61041003530303331340
732604216235365042
oct3161042766242554
9485216675414726
10113323112220012
1133121075580142
1210862940bb0b50
134b30429020a96
141ddac2171a392
15d17bda6e085c
hex671117d9456c

113323112220012 has 96 divisors (see below), whose sum is σ = 275934261657600. Its totient is φ = 36153673516800.

The previous prime is 113323112219963. The next prime is 113323112220037. The reversal of 113323112220012 is 210022211323311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16696789 + ... + 22481747.

It is an arithmetic number, because the mean of its divisors is an integer number (2874315225600).

Almost surely, 2113323112220012 is an apocalyptic number.

113323112220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113323112220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137967130828800).

113323112220012 is an abundant number, since it is smaller than the sum of its proper divisors (162611149437588).

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

113323112220012 is a wasteful number, since it uses less digits than its factorization.

113323112220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5785487 (or 5785485 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 113323112220012 its reverse (210022211323311), we get a palindrome (323345323543323).

The spelling of 113323112220012 in words is "one hundred thirteen trillion, three hundred twenty-three billion, one hundred twelve million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 181 311 348 362 543 622 724 933 1086 1244 1866 2172 3732 5249 9019 10498 15747 18038 20996 27057 31494 36076 54114 56291 62988 108228 112582 168873 225164 337746 675492 1632439 3264878 4897317 5784959 6529756 9794634 11569918 17354877 19589268 23139836 34709754 69419508 167763811 335527622 503291433 671055244 1006582866 1047077579 1799122249 2013165732 2094155158 3141232737 3598244498 4188310316 5397366747 6282465474 7196488996 10794733494 12564930948 21589466988 30365249791 52174545221 60730499582 91095749373 104349090442 121460999164 156523635663 182191498746 208698180884 313047271326 325641127069 364382997492 626094542652 651282254138 976923381207 1302564508276 1953846762414 3907693524828 9443592685001 18887185370002 28330778055003 37774370740004 56661556110006 113323112220012