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13105443045015 = 335736192148347
BaseRepresentation
bin1011111010110101100101…
…0001101111111010010111
31201101212102212012012121000
42332231121101233322113
53204204421404420030
643512320222554343
72521560044605656
oct276553121577227
951355385165530
1013105443045015
1141a2a94a39102
121577b0a4389b3
13740ab8059849
14334441d1519d
1517ad81690860
hexbeb5946fe97

13105443045015 has 64 divisors (see below), whose sum is σ = 23655889497600. Its totient is φ = 6882681860352.

The previous prime is 13105443044951. The next prime is 13105443045047. The reversal of 13105443045015 is 51054034450131.

13105443045015 is a `hidden beast` number, since 1 + 3 + 105 + 4 + 43 + 0 + 4 + 501 + 5 = 666.

It is not a de Polignac number, because 13105443045015 - 26 = 13105443044951 is a prime.

It is a super-2 number, since 2×131054430450152 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5026072 + ... + 7174418.

It is an arithmetic number, because the mean of its divisors is an integer number (369623273400).

Almost surely, 213105443045015 is an apocalyptic number.

13105443045015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13105443045015 is a deficient number, since it is larger than the sum of its proper divisors (10550446452585).

13105443045015 is a wasteful number, since it uses less digits than its factorization.

13105443045015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149053 (or 2149047 counting only the distinct ones).

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

Adding to 13105443045015 its reverse (51054034450131), we get a palindrome (64159477495146).

The spelling of 13105443045015 in words is "thirteen trillion, one hundred five billion, four hundred forty-three million, forty-five thousand, fifteen".

Divisors: 1 3 5 9 15 27 45 73 135 219 365 619 657 1095 1857 1971 3095 3285 5571 9285 9855 16713 27855 45187 83565 135561 225935 406683 677805 1220049 2033415 2148347 6100245 6445041 10741735 19335123 32225205 58005369 96675615 156829331 290026845 470487993 784146655 1329826793 1411463979 2352439965 3989480379 4234391937 6649133965 7057319895 11968441137 19947401895 21171959685 35905323411 59842205685 97077355889 179526617055 291232067667 485386779445 873696203001 1456160338335 2621088609003 4368481015005 13105443045015