Search a number
-
+
11205111522317 is a prime number
BaseRepresentation
bin1010001100001110010010…
…1100010010010000001101
31110200012100111011121020012
42203003210230102100031
52432041032022203232
635455320203203005
72234354052306626
oct243034454222015
943605314147205
1011205111522317
113630074379519
12130b761216465
1363383971b03b
142aa48a468a4d
1514670d7639b2
hexa30e4b1240d

11205111522317 has 2 divisors, whose sum is σ = 11205111522318. Its totient is φ = 11205111522316.

The previous prime is 11205111522301. The next prime is 11205111522443. The reversal of 11205111522317 is 71322511150211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5967105730756 + 5238005791561 = 2442766^2 + 2288669^2 .

It is a cyclic number.

It is not a de Polignac number, because 11205111522317 - 24 = 11205111522301 is a prime.

It is a super-2 number, since 2×112051115223172 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11205111524317) by changing a digit.

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 as a sum of consecutive naturals, namely, 5602555761158 + 5602555761159.

It is an arithmetic number, because the mean of its divisors is an integer number (5602555761159).

Almost surely, 211205111522317 is an apocalyptic number.

It is an amenable number.

11205111522317 is a deficient number, since it is larger than the sum of its proper divisors (1).

11205111522317 is an equidigital number, since it uses as much as digits as its factorization.

11205111522317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 32.

Adding to 11205111522317 its reverse (71322511150211), we get a palindrome (82527622672528).

The spelling of 11205111522317 in words is "eleven trillion, two hundred five billion, one hundred eleven million, five hundred twenty-two thousand, three hundred seventeen".