Search a number
-
+
1122000209 = 11239723357
BaseRepresentation
bin100001011100000…
…0101110101010001
32220012020111221022
41002320011311101
54244213001314
6303200205225
736542562431
oct10270056521
92805214838
101122000209
11526381400
12273909815
1314b5b4665
14a90282c1
156877e78e
hex42e05d51

1122000209 has 12 divisors (see below), whose sum is σ = 1236432372. Its totient is φ = 1017387360.

The previous prime is 1122000203. The next prime is 1122000233. The reversal of 1122000209 is 9020002211.

It can be written as a sum of positive squares in 2 ways, for example, as 835036609 + 286963600 = 28897^2 + 16940^2 .

It is not a de Polignac number, because 1122000209 - 28 = 1121999953 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1122000203) 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 11 ways as a sum of consecutive naturals, for example, 36359 + ... + 59715.

It is an arithmetic number, because the mean of its divisors is an integer number (103036031).

Almost surely, 21122000209 is an apocalyptic number.

It is an amenable number.

1122000209 is a deficient number, since it is larger than the sum of its proper divisors (114432163).

1122000209 is a wasteful number, since it uses less digits than its factorization.

1122000209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23776 (or 23765 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1122000209 is about 33496.2715686388. The cubic root of 1122000209 is about 1039.1166713660.

The spelling of 1122000209 in words is "one billion, one hundred twenty-two million, two hundred nine", and thus it is an aban number.

Divisors: 1 11 121 397 4367 23357 48037 256927 2826197 9272729 102000019 1122000209