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11200110021 = 326135357793
BaseRepresentation
bin10100110111001010…
…00001110111000101
31001220112222112120200
422123211001313011
5140414212010041
65051213121113
7544356235662
oct123345016705
931815875520
1011200110021
114828196481
122206a89199
13109651ca49
147836c0a69
1545841b1b6
hex29b941dc5

11200110021 has 24 divisors (see below), whose sum is σ = 16490015256. Its totient is φ = 7323402240.

The previous prime is 11200109993. The next prime is 11200110023. The reversal of 11200110021 is 12001100211.

It is a happy number.

11200110021 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 4 ways, for example, as 324540225 + 10875569796 = 18015^2 + 104286^2 .

It is not a de Polignac number, because 11200110021 - 215 = 11200077253 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 11200109985 and 11200110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200110023) 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 23 ways as a sum of consecutive naturals, for example, 164901 + ... + 222693.

It is an arithmetic number, because the mean of its divisors is an integer number (687083969).

Almost surely, 211200110021 is an apocalyptic number.

It is an amenable number.

11200110021 is a deficient number, since it is larger than the sum of its proper divisors (5289905235).

11200110021 is a wasteful number, since it uses less digits than its factorization.

11200110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58213 (or 58210 counting only the distinct ones).

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

Adding to 11200110021 its reverse (12001100211), we get a palindrome (23201210232).

The spelling of 11200110021 in words is "eleven billion, two hundred million, one hundred ten thousand, twenty-one".

Divisors: 1 3 9 61 183 353 549 1059 3177 21533 57793 64599 173379 193797 520137 3525373 10576119 20400929 31728357 61202787 183608361 1244456669 3733370007 11200110021