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1100113321 is a prime number
BaseRepresentation
bin100000110010010…
…0110010110101001
32211200001112202211
41001210212112221
54223112111241
6301055125121
736155544316
oct10144462651
92750045684
101100113321
11514a9246a
122685137a1
13146bc0438
14a616bd0d
15668a9781
hex419265a9

1100113321 has 2 divisors, whose sum is σ = 1100113322. Its totient is φ = 1100113320.

The previous prime is 1100113303. The next prime is 1100113363. The reversal of 1100113321 is 1233110011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 902401600 + 197711721 = 30040^2 + 14061^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100113321 - 211 = 1100111273 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100110321) 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 as a sum of consecutive naturals, namely, 550056660 + 550056661.

It is an arithmetic number, because the mean of its divisors is an integer number (550056661).

Almost surely, 21100113321 is an apocalyptic number.

It is an amenable number.

1100113321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100113321 is an equidigital number, since it uses as much as digits as its factorization.

1100113321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1100113321 is about 33167.9562379113. The cubic root of 1100113321 is about 1032.3155624255.

Adding to 1100113321 its reverse (1233110011), we get a palindrome (2333223332).

The spelling of 1100113321 in words is "one billion, one hundred million, one hundred thirteen thousand, three hundred twenty-one".