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11000200221 = 34294682929
BaseRepresentation
bin10100011111010100…
…11011110000011101
31001101121211001220000
422033222123300131
5140012022401341
65015312244513
7536411105403
oct121752336035
931347731800
1011000200221
11473536526a
12216bb40739
131063c9781a
14764d23473
15445acd8b6
hex28fa9bc1d

11000200221 has 20 divisors (see below), whose sum is σ = 16999035900. Its totient is φ = 7080587136.

The previous prime is 11000200213. The next prime is 11000200223. The reversal of 11000200221 is 12200200011.

It can be written as a sum of positive squares in 2 ways, for example, as 5347265625 + 5652934596 = 73125^2 + 75186^2 .

It is not a de Polignac number, because 11000200221 - 23 = 11000200213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000200223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2339116 + ... + 2343813.

It is an arithmetic number, because the mean of its divisors is an integer number (849951795).

Almost surely, 211000200221 is an apocalyptic number.

It is an amenable number.

11000200221 is a deficient number, since it is larger than the sum of its proper divisors (5998835679).

11000200221 is an equidigital number, since it uses as much as digits as its factorization.

11000200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682970 (or 4682961 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11000200221 its reverse (12200200011), we get a palindrome (23200400232).

The spelling of 11000200221 in words is "eleven billion, two hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 27 29 81 87 261 783 2349 4682929 14048787 42146361 126439083 135804941 379317249 407414823 1222244469 3666733407 11000200221