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13104440135541 = 328443172456343
BaseRepresentation
bin1011111010110001110101…
…1111111100111101110101
31201101202211222001010102200
42332230131133330331311
53204200343133314131
643512032515055113
72521523146166436
oct276543537747565
951352758033380
1013104440135541
1141a261a9083a7
12157788a5a1499
137409883412a1
14334388a4b48d
1517ad235d72e6
hexbeb1d7fcf75

13104440135541 has 12 divisors (see below), whose sum is σ = 18930877793568. Its totient is φ = 8735258634984.

The previous prime is 13104440135531. The next prime is 13104440135573. The reversal of 13104440135541 is 14553104440131.

13104440135541 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 44 + 40 + 1 + 35 + 541 = 666.

It is not a de Polignac number, because 13104440135541 - 213 = 13104440127349 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13104440135496 and 13104440135505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13104440135531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86152185 + ... + 86304158.

It is an arithmetic number, because the mean of its divisors is an integer number (1577573149464).

Almost surely, 213104440135541 is an apocalyptic number.

It is an amenable number.

13104440135541 is a deficient number, since it is larger than the sum of its proper divisors (5826437658027).

13104440135541 is a wasteful number, since it uses less digits than its factorization.

13104440135541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172464792 (or 172464789 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 13104440135541 its reverse (14553104440131), we get a palindrome (27657544575672).

The spelling of 13104440135541 in words is "thirteen trillion, one hundred four billion, four hundred forty million, one hundred thirty-five thousand, five hundred forty-one".

Divisors: 1 3 9 8443 25329 75987 172456343 517369029 1552107087 1456048903949 4368146711847 13104440135541