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206202117 = 311193911
BaseRepresentation
bin11000100101001…
…10010100000101
3112101000011010110
430102212110011
5410241431432
632243343233
75052455232
oct1422462405
9471004113
10206202117
11a6439780
1259081b19
13339492b4
141d558789
1513181dcc
hexc4a6505

206202117 has 32 divisors (see below), whose sum is σ = 316938240. Its totient is φ = 118263600.

The previous prime is 206202103. The next prime is 206202121. The reversal of 206202117 is 711202602.

It is not a de Polignac number, because 206202117 - 224 = 189424901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 206202093 and 206202102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206202137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225892 + ... + 226802.

It is an arithmetic number, because the mean of its divisors is an integer number (9904320).

Almost surely, 2206202117 is an apocalyptic number.

It is an amenable number.

206202117 is a deficient number, since it is larger than the sum of its proper divisors (110736123).

206202117 is an equidigital number, since it uses as much as digits as its factorization.

206202117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 206202117 is about 14359.7394474969. The cubic root of 206202117 is about 590.7871491082.

Adding to 206202117 its reverse (711202602), we get a palindrome (917404719).

The spelling of 206202117 in words is "two hundred six million, two hundred two thousand, one hundred seventeen".

Divisors: 1 3 11 19 33 57 209 361 627 911 1083 2733 3971 6859 10021 11913 17309 20577 30063 51927 75449 190399 226347 328871 571197 986613 3617581 6248549 10852743 18745647 68734039 206202117