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1000424045205 = 335132572218063
BaseRepresentation
bin11101000111011011110…
…10110111101010010101
310112122021021100011011000
432203231322313222111
5112342332023421310
62043331035133513
7132164304035304
oct16435572675225
93478237304130
101000424045205
11356306324382
12141a7bba4299
13734550a8870
14365c68aa43b
151b053ac94c0
hexe8edeb7a95

1000424045205 has 64 divisors (see below), whose sum is σ = 1922795320320. Its totient is φ = 490599825408.

The previous prime is 1000424045113. The next prime is 1000424045227. The reversal of 1000424045205 is 5025404240001.

1000424045205 is a `hidden beast` number, since 10 + 0 + 0 + 42 + 404 + 5 + 205 = 666.

It is not a de Polignac number, because 1000424045205 - 27 = 1000424045077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 657997 + ... + 1560066.

It is an arithmetic number, because the mean of its divisors is an integer number (30043676880).

Almost surely, 21000424045205 is an apocalyptic number.

1000424045205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1000424045205 is a deficient number, since it is larger than the sum of its proper divisors (922371275115).

1000424045205 is a wasteful number, since it uses less digits than its factorization.

1000424045205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218347 (or 2218341 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 1000424045205 its reverse (5025404240001), we get a palindrome (6025828285206).

The spelling of 1000424045205 in words is "one trillion, four hundred twenty-four million, forty-five thousand, two hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 257 351 585 771 1285 1755 2313 3341 3855 6939 10023 11565 16705 30069 34695 50115 90207 150345 451035 2218063 6654189 11090315 19962567 28834819 33270945 59887701 86504457 99812835 144174095 259513371 299438505 432522285 570042191 778540113 1297566855 1710126573 2850210955 3892700565 5130379719 7410548483 8550632865 15391139157 22231645449 25651898595 37052742415 66694936347 76955695785 111158227245 200084809041 333474681735 1000424045205