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11200021209 = 32131741137341
BaseRepresentation
bin10100110111001001…
…01100001011011001
31001220112211000202100
422123210230023121
5140414201134314
65051211154013
7544355416026
oct123344541331
931815730670
1011200021209
114828135783
122206a45909
1310964bb4b0
1478369a54d
154583eec09
hex29b92c2d9

11200021209 has 48 divisors (see below), whose sum is σ = 18897160464. Its totient is φ = 6328627200.

The previous prime is 11200021207. The next prime is 11200021237. The reversal of 11200021209 is 90212000211.

11200021209 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 8 ways, for example, as 455625 + 11199565584 = 675^2 + 105828^2 .

It is not a de Polignac number, because 11200021209 - 21 = 11200021207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11200021191 and 11200021200.

It is not an unprimeable number, because it can be changed into a prime (11200021207) 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 47 ways as a sum of consecutive naturals, for example, 12879 + ... + 150219.

It is an arithmetic number, because the mean of its divisors is an integer number (393690843).

Almost surely, 211200021209 is an apocalyptic number.

It is an amenable number.

11200021209 is a deficient number, since it is larger than the sum of its proper divisors (7697139255).

11200021209 is a wasteful number, since it uses less digits than its factorization.

11200021209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137418 (or 137415 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

It can be divided in two parts, 1120002 and 1209, that added together give a palindrome (1121211).

The spelling of 11200021209 in words is "eleven billion, two hundred million, twenty-one thousand, two hundred nine".

Divisors: 1 3 9 13 17 39 41 51 117 123 153 221 369 533 663 697 1599 1989 2091 4797 6273 9061 27183 81549 137341 412023 1236069 1785433 2334797 5356299 5630981 7004391 16068897 16892943 21013173 30352361 50678829 73202753 91057083 95726677 219608259 273171249 287180031 658824777 861540093 1244446801 3733340403 11200021209