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13105521819 = 331349877487
BaseRepresentation
bin11000011010010011…
…00110010010011011
31020211100100111012000
430031021212102123
5203320003144234
610004240452043
7642524045265
oct141511462233
936740314160
1013105521819
1156157a8575
12265901a023
13130b1c9950
148c4796b35
1551a847899
hex30d26649b

13105521819 has 32 divisors (see below), whose sum is σ = 20916080640. Its totient is φ = 8062242336.

The previous prime is 13105521809. The next prime is 13105521827. The reversal of 13105521819 is 91812550131.

13105521819 is a `hidden beast` number, since 13 + 10 + 552 + 1 + 81 + 9 = 666.

It is not a de Polignac number, because 13105521819 - 25 = 13105521787 is a prime.

It is a super-2 number, since 2×131055218192 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13105521809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1746694 + ... + 1754180.

It is an arithmetic number, because the mean of its divisors is an integer number (653627520).

Almost surely, 213105521819 is an apocalyptic number.

13105521819 is a deficient number, since it is larger than the sum of its proper divisors (7810558821).

13105521819 is a wasteful number, since it uses less digits than its factorization.

13105521819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12496 (or 12490 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 13105521819 in words is "thirteen billion, one hundred five million, five hundred twenty-one thousand, eight hundred nineteen".

Divisors: 1 3 9 13 27 39 117 351 4987 7487 14961 22461 44883 64831 67383 97331 134649 194493 202149 291993 583479 875979 1750437 2627937 37337669 112013007 336039021 485389697 1008117063 1456169091 4368507273 13105521819