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13411343121 = 3113727140531
BaseRepresentation
bin11000111110110000…
…01101101100010001
31021121122210211010220
430133120031230101
5204431300434441
610054443343253
7653226351501
oct143730155421
937548724126
1013411343121
115762398650
122723521b29
1313596852b7
14913243a01
15537606466
hex31f60db11

13411343121 has 32 divisors (see below), whose sum is σ = 20109060096. Its totient is φ = 7879032000.

The previous prime is 13411343111. The next prime is 13411343191. The reversal of 13411343121 is 12134311431.

It is a happy number.

13411343121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13411343121 - 214 = 13411326737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13411343091 and 13411343100.

It is not an unprimeable number, because it can be changed into a prime (13411343111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310626 + ... + 351156.

It is an arithmetic number, because the mean of its divisors is an integer number (628408128).

Almost surely, 213411343121 is an apocalyptic number.

13411343121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13411343121 is a deficient number, since it is larger than the sum of its proper divisors (6697716975).

13411343121 is a wasteful number, since it uses less digits than its factorization.

13411343121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40853.

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

Adding to 13411343121 its reverse (12134311431), we get a palindrome (25545654552).

The spelling of 13411343121 in words is "thirteen billion, four hundred eleven million, three hundred forty-three thousand, one hundred twenty-one".

Divisors: 1 3 11 33 37 111 271 407 813 1221 2981 8943 10027 30081 40531 110297 121593 330891 445841 1337523 1499647 4498941 10983901 16496117 32951703 49488351 120822911 362468733 406404337 1219213011 4470447707 13411343121