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12310344301321 = 1123971812771401
BaseRepresentation
bin1011001100100011100110…
…1100101111101100001001
31121120212011001122002021201
42303020321230233230021
53103143041120120241
642103143305304201
72410251544030633
oct263107154575411
947525131562251
1012310344301321
113a16873478860
1214699b1495061
136b3b25648041
14307b768a9a53
151653487ec931
hexb3239b2fb09

12310344301321 has 32 divisors (see below), whose sum is σ = 14236049108736. Its totient is φ = 10535754240000.

The previous prime is 12310344301301. The next prime is 12310344301337.

12310344301321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12310344301321 - 211 = 12310344299273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12310344301321.

It is not an unprimeable number, because it can be changed into a prime (12310344301301) by changing a digit.

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, 3056221 + ... + 5827621.

It is an arithmetic number, because the mean of its divisors is an integer number (444876534648).

Almost surely, 212310344301321 is an apocalyptic number.

12310344301321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12310344301321 is a deficient number, since it is larger than the sum of its proper divisors (1925704807415).

12310344301321 is a wasteful number, since it uses less digits than its factorization.

12310344301321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771713.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 1231034 and 4301321, that added together give a palindrome (5532355).

The spelling of 12310344301321 in words is "twelve trillion, three hundred ten billion, three hundred forty-four million, three hundred one thousand, three hundred twenty-one".

Divisors: 1 11 23 97 181 253 1067 1991 2231 4163 17557 24541 45793 193127 403811 2771401 4441921 30485411 63742223 268825897 501623581 701164453 2957084867 5517859391 6182995631 11537342363 48657487357 68012951941 126910765993 535232360927 1119122209211 12310344301321