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13447135107 = 337193744677
BaseRepresentation
bin11001000011000001…
…01111111110000011
31021201011011020112000
430201200233332003
5210014431310412
610102202435043
7654142522350
oct144140577603
937634136460
1013447135107
1157806146aa
122733502a83
131363c076a3
14917cbd627
1553a8264dc
hex32182ff83

13447135107 has 32 divisors (see below), whose sum is σ = 23965939200. Its totient is φ = 7279650144.

The previous prime is 13447135067. The next prime is 13447135111. The reversal of 13447135107 is 70153174431.

It is a happy number.

13447135107 is a `hidden beast` number, since 134 + 4 + 7 + 1 + 3 + 510 + 7 = 666.

13447135107 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 13447135107 - 222 = 13442940803 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13447135147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1868748 + ... + 1875929.

It is an arithmetic number, because the mean of its divisors is an integer number (748935600).

Almost surely, 213447135107 is an apocalyptic number.

13447135107 is a deficient number, since it is larger than the sum of its proper divisors (10518804093).

13447135107 is a wasteful number, since it uses less digits than its factorization.

13447135107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744712 (or 3744706 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 13447135107 in words is "thirteen billion, four hundred forty-seven million, one hundred thirty-five thousand, one hundred seven".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 3591 3744677 11234031 26212739 33702093 71148863 78638217 101106279 213446589 235914651 498042041 640339767 707743953 1494126123 1921019301 4482378369 13447135107