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12431355313421 = 118947129269431
BaseRepresentation
bin1011010011100110011010…
…0001000111110100001101
31122000102111112012102122202
42310321212201013310031
53112133403430012141
642234515155251245
72422064400460322
oct264714641076415
948012445172582
1012431355313421
113a63120a98270
1214893438a9b25
136c236c126a05
1430d9761c8b49
1516857c40c49b
hexb4e66847d0d

12431355313421 has 16 divisors (see below), whose sum is σ = 13714196572800. Its totient is φ = 11173973395200.

The previous prime is 12431355313373. The next prime is 12431355313441.

It is a happy number.

12431355313421 is nontrivially palindromic in base 10.

12431355313421 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 12431355313421 - 26 = 12431355313357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12431355313441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46004576 + ... + 46274006.

It is an arithmetic number, because the mean of its divisors is an integer number (857137285800).

Almost surely, 212431355313421 is an apocalyptic number.

12431355313421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12431355313421 is a deficient number, since it is larger than the sum of its proper divisors (1282841259379).

12431355313421 is a wasteful number, since it uses less digits than its factorization.

12431355313421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316660.

The product of its digits is 129600, while the sum is 38.

It can be divided in two parts, 1243135 and 5313421, that added together give a palindrome (6556556).

The spelling of 12431355313421 in words is "twelve trillion, four hundred thirty-one billion, three hundred fifty-five million, three hundred thirteen thousand, four hundred twenty-one".

Divisors: 1 11 89 979 47129 269431 518419 2963741 4194481 23979359 46139291 263772949 12698013599 139678149589 1130123210311 12431355313421