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2023130632005 = 3257459317371
BaseRepresentation
bin11101011100001011111…
…110111000111101000101
321011102001110012200222100
4131130023332320331011
5231121332420211010
64145225142422313
7266111030430000
oct35341376707505
97142043180870
102023130632005
11710006553a8a
1228811a431999
13118a1b700882
146dcc4864537
153795d9e32c0
hex1d70bfb8f45

2023130632005 has 120 divisors (see below), whose sum is σ = 4160327988960. Its totient is φ = 909181264320.

The previous prime is 2023130631937. The next prime is 2023130632051. The reversal of 2023130632005 is 5002360313202.

2023130632005 is a `hidden beast` number, since 2 + 0 + 2 + 31 + 306 + 320 + 0 + 5 = 666.

It is not a de Polignac number, because 2023130632005 - 27 = 2023130631877 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2023130632005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6215970 + ... + 6533340.

It is an arithmetic number, because the mean of its divisors is an integer number (34669399908).

Almost surely, 22023130632005 is an apocalyptic number.

It is an amenable number.

2023130632005 is an abundant number, since it is smaller than the sum of its proper divisors (2137197356955).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2023130632005 is an equidigital number, since it uses as much as digits as its factorization.

2023130632005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317469 (or 317445 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 2023130632005 its reverse (5002360313202), we get a palindrome (7025490945207).

The spelling of 2023130632005 in words is "two trillion, twenty-three billion, one hundred thirty million, six hundred thirty-two thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 49 59 63 105 147 177 245 295 315 343 413 441 531 735 885 1029 1239 1715 2065 2205 2401 2655 2891 3087 3717 5145 6195 7203 8673 12005 14455 15435 18585 20237 21609 26019 36015 43365 60711 101185 108045 130095 141659 182133 303555 317371 424977 708295 910665 952113 1274931 1586855 2124885 2221597 2856339 4760565 6374655 6664791 11107985 14281695 15551179 18724889 19994373 33323955 46653537 56174667 77755895 93624445 99971865 108858253 131074223 139960611 168524001 233267685 280873335 326574759 393222669 544291265 655371115 699803055 762007771 842620005 917519561 979724277 1179668007 1632873795 1966113345 2286023313 2752558683 3810038855 4587597805 4898621385 5898340035 6422636927 6858069939 8257676049 11430116565 13762793415 19267910781 32113184635 34290349695 41288380245 44958458489 57803732343 96339553905 134875375467 224792292445 289018661715 404626126401 674376877335 2023130632005