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2205231113 is a prime number
BaseRepresentation
bin1000001101110001…
…0010100000001001
312200200112100101102
42003130102200021
514004014343423
61002453431145
7105435104141
oct20334224011
95620470342
102205231113
11a31882858
1251663b4b5
13291b436a7
1416cc3d921
15cd901c28
hex83712809

2205231113 has 2 divisors, whose sum is σ = 2205231114. Its totient is φ = 2205231112.

The previous prime is 2205231101. The next prime is 2205231131. The reversal of 2205231113 is 3111325022.

Together with next prime (2205231131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2043763264 + 161467849 = 45208^2 + 12707^2 .

It is a cyclic number.

It is not a de Polignac number, because 2205231113 - 28 = 2205230857 is a prime.

It is not a weakly prime, because it can be changed into another prime (2205231163) 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 as a sum of consecutive naturals, namely, 1102615556 + 1102615557.

It is an arithmetic number, because the mean of its divisors is an integer number (1102615557).

Almost surely, 22205231113 is an apocalyptic number.

It is an amenable number.

2205231113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205231113 is an equidigital number, since it uses as much as digits as its factorization.

2205231113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2205231113 is about 46959.8883410086. Note that the first 3 decimals coincide. The cubic root of 2205231113 is about 1301.6214704119.

Adding to 2205231113 its reverse (3111325022), we get a palindrome (5316556135).

The spelling of 2205231113 in words is "two billion, two hundred five million, two hundred thirty-one thousand, one hundred thirteen".