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208093260211 = 41109151401769
BaseRepresentation
bin1100000111001101010…
…0110010100110110011
3201220010101011220100121
43001303110302212303
511402133333311321
6235332520431111
721014513345554
oct3016324624663
9656111156317
10208093260211
1180285247401
12343b6018497
1316813c86145
14a100d0432b
15562dc42441
hex30735329b3

208093260211 has 32 divisors (see below), whose sum is σ = 217371369600. Its totient is φ = 199065600000.

The previous prime is 208093260157. The next prime is 208093260229. The reversal of 208093260211 is 112062390802.

208093260211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 18-Lehmer number, since φ(208093260211) divides (208093260211-1)18.

It is a cyclic number.

It is not a de Polignac number, because 208093260211 - 27 = 208093260083 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (208093260281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270602035 + ... + 270602803.

It is an arithmetic number, because the mean of its divisors is an integer number (6792855300).

Almost surely, 2208093260211 is an apocalyptic number.

208093260211 is the 204007-th centered decagonal number.

208093260211 is a deficient number, since it is larger than the sum of its proper divisors (9278109389).

208093260211 is a wasteful number, since it uses less digits than its factorization.

208093260211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471.

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 208093260211 in words is "two hundred eight billion, ninety-three million, two hundred sixty thousand, two hundred eleven".

Divisors: 1 41 109 151 401 769 4469 6191 16441 16459 31529 43709 60551 83821 116119 308369 674819 1792069 2482591 3436661 4760879 6600059 12643129 12656971 33612221 46563719 270602419 518935811 1378101061 1909112479 5075445371 208093260211