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11332220200 = 2352721011072
BaseRepresentation
bin10101000110111001…
…11111010100101000
31002020202120102200021
422203130333110220
5141202022021300
65112252450224
7550552165600
oct124334772450
932222512607
1011332220200
114895819844
122243179974
1310b79c6b52
1479706dc00
15464d14d1a
hex2a373f528

11332220200 has 216 divisors, whose sum is σ = 31244465070. Its totient is φ = 3810912000.

The previous prime is 11332220191. The next prime is 11332220201. The reversal of 11332220200 is 202223311.

It can be written as a sum of positive squares in 3 ways, for example, as 10683703044 + 648517156 = 103362^2 + 25466^2 .

It is a super-2 number, since 2×113322202002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11332220201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 105908547 + ... + 105908653.

Almost surely, 211332220200 is an apocalyptic number.

11332220200 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 11332220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15622232535).

11332220200 is an abundant number, since it is smaller than the sum of its proper divisors (19912244870).

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

11332220200 is a wasteful number, since it uses less digits than its factorization.

11332220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11332220200 its reverse (202223311), we get a palindrome (11534443511).

The spelling of 11332220200 in words is "eleven billion, three hundred thirty-two million, two hundred twenty thousand, two hundred".