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12341311314321 = 3113117596858353
BaseRepresentation
bin1011001110010110111101…
…1110100001100110010001
31121200211002012112100010010
42303211233132201212101
53104200001144024241
642125304204025133
72412426125221443
oct263455736414621
947624065470103
1012341311314321
113a28a14554a90
1214739b42321a9
136b6a1c16a882
14309473516493
1516605c28dd16
hexb396f7a1991

12341311314321 has 32 divisors (see below), whose sum is σ = 18540599869440. Its totient is φ = 7234189689600.

The previous prime is 12341311314313. The next prime is 12341311314347.

It is a happy number.

12341311314321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12341311314321 - 23 = 12341311314313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12341311314361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1629720 + ... + 5228633.

It is an arithmetic number, because the mean of its divisors is an integer number (579393745920).

Almost surely, 212341311314321 is an apocalyptic number.

12341311314321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12341311314321 is a deficient number, since it is larger than the sum of its proper divisors (6199288555119).

12341311314321 is a wasteful number, since it uses less digits than its factorization.

12341311314321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6860157.

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

It can be divided in two parts, 1234131 and 1314321, that added together give a palindrome (2548452).

The spelling of 12341311314321 in words is "twelve trillion, three hundred forty-one billion, three hundred eleven million, three hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 11 31 33 93 341 1023 1759 5277 19349 54529 58047 163587 599819 1799457 6858353 20575059 75441883 212608943 226325649 637826829 2338698373 7016095119 12063842927 36191528781 132702272197 373979130737 398106816591 1121937392211 4113770438107 12341311314321