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12320403131413 = 132300292427713
BaseRepresentation
bin1011001101001001000101…
…0000001000110000010101
31121121211010002002121010101
42303102101100020300111
53103324141200201123
642111525353054101
72411056034465116
oct263222120106025
947554102077111
1012320403131413
113a20065414783
12146b93a0b7331
136b4a69592b00
1430844c78420d
1516573692baad
hexb3491408c15

12320403131413 has 12 divisors (see below), whose sum is σ = 13341478009860. Its totient is φ = 11372296406016.

The previous prime is 12320403131329. The next prime is 12320403131423. The reversal of 12320403131413 is 31413130402321.

It can be written as a sum of positive squares in 6 ways, for example, as 1874333497969 + 10446069633444 = 1369063^2 + 3232038^2 .

It is a de Polignac number, because none of the positive numbers 2k-12320403131413 is a prime.

It is a super-2 number, since 2×123204031314132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320403131423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3861045 + ... + 6288757.

It is an arithmetic number, because the mean of its divisors is an integer number (1111789834155).

Almost surely, 212320403131413 is an apocalyptic number.

12320403131413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12320403131413 is a deficient number, since it is larger than the sum of its proper divisors (1021074878447).

12320403131413 is a wasteful number, since it uses less digits than its factorization.

12320403131413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457768 (or 2457755 counting only the distinct ones).

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

Adding to 12320403131413 its reverse (31413130402321), we get a palindrome (43733533533734).

The spelling of 12320403131413 in words is "twelve trillion, three hundred twenty billion, four hundred three million, one hundred thirty-one thousand, four hundred thirteen".

Divisors: 1 13 169 30029 390377 2427713 5074901 31560269 410283497 72901793677 947723317801 12320403131413