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204113132130105 = 32511237486341989
BaseRepresentation
bin101110011010001111001010…
…101111000000111100111001
3222202201000200010101102122100
4232122033022233000330321
5203223142143311130410
62002040140045414013
760664454456466012
oct5632171257007471
9882630603342570
10204113132130105
115a044990961800
121aa865aab6a309
1389b7a2a44bc23
1438591b2106009
15188e6b70d58c0
hexb9a3cabc0f39

204113132130105 has 36 divisors (see below), whose sum is σ = 388883311804260. Its totient is φ = 98963942848320.

The previous prime is 204113132130067. The next prime is 204113132130107. The reversal of 204113132130105 is 501031231311402.

204113132130105 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 1 + 31 + 321 + 301 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49139987840064 + 154973144290041 = 7009992^2 + 12448821^2 .

It is not a de Polignac number, because 204113132130105 - 211 = 204113132128057 is a prime.

It is a super-2 number, since 2×2041131321301052 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204113132130107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18743165550 + ... + 18743176439.

It is an arithmetic number, because the mean of its divisors is an integer number (10802314216785).

Almost surely, 2204113132130105 is an apocalyptic number.

It is an amenable number.

204113132130105 is a deficient number, since it is larger than the sum of its proper divisors (184770179674155).

204113132130105 is a wasteful number, since it uses less digits than its factorization.

204113132130105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37486342022 (or 37486342008 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 204113132130105 its reverse (501031231311402), we get a palindrome (705144363441507).

The spelling of 204113132130105 in words is "two hundred four trillion, one hundred thirteen billion, one hundred thirty-two million, one hundred thirty thousand, one hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1089 1815 5445 37486341989 112459025967 187431709945 337377077901 412349761879 562295129835 1237049285637 1686885389505 2061748809395 3711147856911 4535847380669 6185246428185 13607542142007 18555739284555 22679236903345 40822626426021 68037710710035 204113132130105