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11221032210 = 2357311345343
BaseRepresentation
bin10100111001101001…
…10101110100010010
31001222000100111102120
422130310311310102
5140440041012320
65053241355110
7545032125423
oct123464656422
931860314376
1011221032210
114838a86643
122211a98a96
13109a966b3b
147863a964a
1545a1a0440
hex29cd35d12

11221032210 has 64 divisors (see below), whose sum is σ = 27541582848. Its totient is φ = 2925103104.

The previous prime is 11221032203. The next prime is 11221032239. The reversal of 11221032210 is 1223012211.

11221032210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11221032210.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 224799 + ... + 270141.

It is an arithmetic number, because the mean of its divisors is an integer number (430337232).

Almost surely, 211221032210 is an apocalyptic number.

11221032210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221032210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13770791424).

11221032210 is an abundant number, since it is smaller than the sum of its proper divisors (16320550638).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11221032210 is a wasteful number, since it uses less digits than its factorization.

11221032210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45539.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11221032210 its reverse (1223012211), we get a palindrome (12444044421).

The spelling of 11221032210 in words is "eleven billion, two hundred twenty-one million, thirty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 113 146 219 226 339 365 438 565 678 730 1095 1130 1695 2190 3390 8249 16498 24747 41245 45343 49494 82490 90686 123735 136029 226715 247470 272058 453430 680145 1360290 3310039 5123759 6620078 9930117 10247518 15371277 16550195 19860234 25618795 30742554 33100390 49650585 51237590 76856385 99301170 153712770 374034407 748068814 1122103221 1870172035 2244206442 3740344070 5610516105 11221032210