Search a number
-
+
11221001222200 = 23527111789407287
BaseRepresentation
bin1010001101001001011111…
…0010101011100000111000
31110201201100212102222201021
42203102113302223200320
52432321102303102300
635510505022432224
72235455604445360
oct243222762534070
943651325388637
1011221001222200
1136368887281a0
121312856732674
1363519c695413
142ab1568c79a0
15146d3d71cd1a
hexa3497cab838

11221001222200 has 192 divisors, whose sum is σ = 32544592012800. Its totient is φ = 3495491366400.

The previous prime is 11221001222159. The next prime is 11221001222209. The reversal of 11221001222200 is 222210012211.

It is a happy number.

It is a super-2 number, since 2×112210012222002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221001222209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27346957 + ... + 27754243.

It is an arithmetic number, because the mean of its divisors is an integer number (169503083400).

Almost surely, 211221001222200 is an apocalyptic number.

11221001222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221001222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16272296006400).

11221001222200 is an abundant number, since it is smaller than the sum of its proper divisors (21323590790600).

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

11221001222200 is a wasteful number, since it uses less digits than its factorization.

11221001222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409110 (or 409101 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11221001222200 its reverse (222210012211), we get a palindrome (11443211234411).

The spelling of 11221001222200 in words is "eleven trillion, two hundred twenty-one billion, one million, two hundred twenty-two thousand, two hundred".