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11201322100 = 22521725371103
BaseRepresentation
bin10100110111010011…
…01001110001110100
31001220122021010020111
422123221221301310
5140420014301400
65051255112404
7544402444513
oct123351516164
931818233214
1011201322100
1148289440a1
122207372704
131096855657
1478391867a
154585aa3ba
hex29ba69c74

11201322100 has 216 divisors, whose sum is σ = 26937525888. Its totient is φ = 4039526400.

The previous prime is 11201322053. The next prime is 11201322131. The reversal of 11201322100 is 122310211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 108750649 + ... + 108750751.

It is an arithmetic number, because the mean of its divisors is an integer number (124710768).

Almost surely, 211201322100 is an apocalyptic number.

11201322100 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 11201322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13468762944).

11201322100 is an abundant number, since it is smaller than the sum of its proper divisors (15736203788).

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

11201322100 is a wasteful number, since it uses less digits than its factorization.

11201322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11201322100 its reverse (122310211), we get a palindrome (11323632311).

The spelling of 11201322100 in words is "eleven billion, two hundred one million, three hundred twenty-two thousand, one hundred".