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11000101221 = 323733033337
BaseRepresentation
bin10100011111010100…
…00011100101100101
31001101121122001002100
422033222003211211
5140012011214341
65015310202313
7536410213644
oct121752034545
931347561070
1011000101221
1147352a794a
12216bab3399
131063c61745
14764cd935b
15445aae3b6
hex28fa83965

11000101221 has 12 divisors (see below), whose sum is σ = 16318468972. Its totient is φ = 7135200576.

The previous prime is 11000101183. The next prime is 11000101237. The reversal of 11000101221 is 12210100011.

It is a happy number.

11000101221 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 4709390625 + 6290710596 = 68625^2 + 79314^2 .

It is not a de Polignac number, because 11000101221 - 210 = 11000100197 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000101121) by changing a digit.

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, 16516336 + ... + 16517001.

Almost surely, 211000101221 is an apocalyptic number.

It is an amenable number.

11000101221 is a deficient number, since it is larger than the sum of its proper divisors (5318367751).

11000101221 is a wasteful number, since it uses less digits than its factorization.

11000101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33033380 (or 33033377 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000101221 its reverse (12210100011), we get a palindrome (23210201232).

The spelling of 11000101221 in words is "eleven billion, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 33033337 99100011 297300033 1222233469 3666700407 11000101221