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11210012220 = 223511101211797
BaseRepresentation
bin10100111000010101…
…10011011000111100
31001221020121121211210
422130022303120330
5140424230342340
65052205244420
7544536350241
oct123412633074
931836547753
1011210012220
11483283a110
12220a263710
1310985a8c34
14784b3b5c8
15459225180
hex29c2b363c

11210012220 has 192 divisors, whose sum is σ = 34787999232. Its totient is φ = 2674560000.

The previous prime is 11210012197. The next prime is 11210012227. The reversal of 11210012220 is 2221001211.

11210012220 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 11210012196 and 11210012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11210012227) 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 63 ways as a sum of consecutive naturals, for example, 14064862 + ... + 14065658.

It is an arithmetic number, because the mean of its divisors is an integer number (181187496).

Almost surely, 211210012220 is an apocalyptic number.

11210012220 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 11210012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17393999616).

11210012220 is an abundant number, since it is smaller than the sum of its proper divisors (23577987012).

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

11210012220 is a wasteful number, since it uses less digits than its factorization.

11210012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11210012220 its reverse (2221001211), we get a palindrome (13431013431).

The spelling of 11210012220 in words is "eleven billion, two hundred ten million, twelve thousand, two hundred twenty".