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13118304378051 = 331922643750909
BaseRepresentation
bin1011111011100101011111…
…0111110101110011000011
31201110002122012001121202000
42332321113313311303003
53204412241410044201
643522244341555043
72522523545254515
oct276712767656303
951402565047660
1013118304378051
1141a8494911a64
12157a4b9715a83
13742087799b92
14334d020a5bb5
1517b385850d86
hexbee57df5cc3

13118304378051 has 48 divisors (see below), whose sum is σ = 20512408759200. Its totient is φ = 8284768734528.

The previous prime is 13118304378031. The next prime is 13118304378061. The reversal of 13118304378051 is 15087340381131.

13118304378051 is a `hidden beast` number, since 1 + 3 + 11 + 83 + 0 + 437 + 80 + 51 = 666.

It is not a de Polignac number, because 13118304378051 - 215 = 13118304345283 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13118304377988 and 13118304378006.

It is not an unprimeable number, because it can be changed into a prime (13118304378031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257655985 + ... + 257706893.

It is an arithmetic number, because the mean of its divisors is an integer number (427341849150).

Almost surely, 213118304378051 is an apocalyptic number.

13118304378051 is a deficient number, since it is larger than the sum of its proper divisors (7394104381149).

13118304378051 is a wasteful number, since it uses less digits than its factorization.

13118304378051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77393 (or 77368 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 13118304378051 in words is "thirteen trillion, one hundred eighteen billion, three hundred four million, three hundred seventy-eight thousand, fifty-one".

Divisors: 1 3 9 19 27 57 171 361 513 1083 3249 9747 26437 50909 79311 152727 237933 458181 502303 713799 967271 1374543 1506909 2901813 4520727 8705439 9543757 13562181 18378149 26116317 28631271 55134447 85893813 165403341 257681439 496210023 1345881233 4037643699 12112931097 25571743427 36338793291 76715230281 230145690843 485863125113 690437072529 1457589375339 4372768126017 13118304378051