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204118317 = 32135332917
BaseRepresentation
bin11000010101010…
…01100100101101
3112020002021200200
430022221210231
5404223241232
632130544113
75025656064
oct1412514455
9466067620
10204118317
11a5246127
1258438039
1333399990
141d1751db
1512dbe77c
hexc2a992d

204118317 has 24 divisors (see below), whose sum is σ = 323518104. Its totient is φ = 123237504.

The previous prime is 204118301. The next prime is 204118339. The reversal of 204118317 is 713811402.

It can be written as a sum of positive squares in 4 ways, for example, as 21706281 + 182412036 = 4659^2 + 13506^2 .

It is not a de Polignac number, because 204118317 - 24 = 204118301 is a prime.

It is a super-3 number, since 3×2041183173 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204118517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10258 + ... + 22659.

It is an arithmetic number, because the mean of its divisors is an integer number (13479921).

Almost surely, 2204118317 is an apocalyptic number.

It is an amenable number.

204118317 is a deficient number, since it is larger than the sum of its proper divisors (119399787).

204118317 is a wasteful number, since it uses less digits than its factorization.

204118317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32989 (or 32986 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 204118317 is about 14286.9981801637. The cubic root of 204118317 is about 588.7903176036.

Adding to 204118317 its reverse (713811402), we get a palindrome (917929719).

The spelling of 204118317 in words is "two hundred four million, one hundred eighteen thousand, three hundred seventeen".

Divisors: 1 3 9 13 39 53 117 159 477 689 2067 6201 32917 98751 296253 427921 1283763 1744601 3851289 5233803 15701409 22679813 68039439 204118317