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13005550344141 = 331432733620929
BaseRepresentation
bin1011110101000001011100…
…1101010101011111001101
31201001022121011110020002000
42331100113031111133031
53201040331342003031
643354400051422513
72511422442632625
oct275202715253715
951038534406060
1013005550344141
11416469412a473
1215606905b4a39
13734558848014
1432d687225885
15178486a9d3e6
hexbd4173557cd

13005550344141 has 16 divisors (see below), whose sum is σ = 19268827401600. Its totient is φ = 8669761461504.

The previous prime is 13005550344131. The next prime is 13005550344173. The reversal of 13005550344141 is 14144305550031.

13005550344141 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 5 + 5 + 503 + 4 + 4 + 141 = 666.

It is not a de Polignac number, because 13005550344141 - 213 = 13005550335949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13005550344096 and 13005550344105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005550344131) 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, 16423636 + ... + 17197293.

It is an arithmetic number, because the mean of its divisors is an integer number (1204301712600).

Almost surely, 213005550344141 is an apocalyptic number.

It is an amenable number.

13005550344141 is a deficient number, since it is larger than the sum of its proper divisors (6263277057459).

13005550344141 is a wasteful number, since it uses less digits than its factorization.

13005550344141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33635265 (or 33635259 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 13005550344141 its reverse (14144305550031), we get a palindrome (27149855894172).

The spelling of 13005550344141 in words is "thirteen trillion, five billion, five hundred fifty million, three hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 9 27 14327 42981 128943 386829 33620929 100862787 302588361 907765083 481687049783 1445061149349 4335183448047 13005550344141