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11205202005 = 325249004489
BaseRepresentation
bin10100110111110000…
…11101000001010101
31001220220120020110200
422123320131001111
5140422012431010
65051514211113
7544450434264
oct123370350125
931826506420
1011205202005
114830054128
122208723a99
1310975b365a
147842485db
15458ac4cc0
hex29be1d055

11205202005 has 12 divisors (see below), whose sum is σ = 19422350220. Its totient is φ = 5976107712.

The previous prime is 11205201971. The next prime is 11205202013. The reversal of 11205202005 is 50020250211.

11205202005 is a `hidden beast` number, since 1 + 120 + 520 + 20 + 0 + 5 = 666.

11205202005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5520192804 + 5685009201 = 74298^2 + 75399^2 .

It is not a de Polignac number, because 11205202005 - 219 = 11204677717 is a prime.

It is a Curzon number.

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 11 ways as a sum of consecutive naturals, for example, 124502200 + ... + 124502289.

It is an arithmetic number, because the mean of its divisors is an integer number (1618529185).

Almost surely, 211205202005 is an apocalyptic number.

11205202005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11205202005 is a deficient number, since it is larger than the sum of its proper divisors (8217148215).

11205202005 is a wasteful number, since it uses less digits than its factorization.

11205202005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249004500 (or 249004497 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 11205202005 its reverse (50020250211), we get a palindrome (61225452216).

The spelling of 11205202005 in words is "eleven billion, two hundred five million, two hundred two thousand, five".

Divisors: 1 3 5 9 15 45 249004489 747013467 1245022445 2241040401 3735067335 11205202005