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217104057205 = 573232613923
BaseRepresentation
bin1100101000110001101…
…0010000001101110101
3202202101100120211001121
43022030122100031311
512024112114312310
6243423005223541
721454020016000
oct3121432201565
9682340524047
10217104057205
1184089642572
12360ab861bb1
131761ba46999
14a71792a537
1559a9d530da
hex328c690375

217104057205 has 96 divisors (see below), whose sum is σ = 322891833600. Its totient is φ = 140028577920.

The previous prime is 217104057199. The next prime is 217104057211. The reversal of 217104057205 is 502750401712.

It is an interprime number because it is at equal distance from previous prime (217104057199) and next prime (217104057211).

It is not a de Polignac number, because 217104057205 - 217 = 217103926133 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 55339374 + ... + 55343296.

It is an arithmetic number, because the mean of its divisors is an integer number (3363456600).

Almost surely, 2217104057205 is an apocalyptic number.

It is an amenable number.

217104057205 is a deficient number, since it is larger than the sum of its proper divisors (105787776395).

217104057205 is an equidigital number, since it uses as much as digits as its factorization.

217104057205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

Adding to 217104057205 its reverse (502750401712), we get a palindrome (719854458917).

The spelling of 217104057205 in words is "two hundred seventeen billion, one hundred four million, fifty-seven thousand, two hundred five".

Divisors: 1 5 7 23 35 49 61 115 161 245 305 343 427 529 805 1127 1403 1715 2135 2645 2989 3703 3923 5635 7015 7889 9821 14945 18515 19615 20923 25921 27461 32269 39445 49105 68747 90229 104615 129605 137305 161345 181447 192227 225883 239303 343735 451145 481229 631603 907235 961135 1129415 1196515 1345589 1581181 1675121 2075267 2406145 3158015 4421221 5503969 6727945 7905905 8375605 10376335 11068267 11725847 14526869 22106105 27519845 30948547 38527783 55341335 58629235 72634345 82080929 101688083 126591287 154742735 192638915 269694481 410404645 508440415 632956435 711816581 886139009 1348472405 1887861367 3559082905 4430695045 6202973063 9439306835 31014865315 43420811441 217104057205