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11231332200 = 233252111761547
BaseRepresentation
bin10100111010111000…
…01000011101101000
31001222201201210100200
422131130020131220
5141000210112300
65054250232200
7545215514514
oct123534103550
931881653320
1011231332200
114843881130
122215425660
13109cb320ca
147878cb144
1545b037200
hex29d708768

11231332200 has 576 divisors, whose sum is σ = 44363142720. Its totient is φ = 2515968000.

The previous prime is 11231332187. The next prime is 11231332201. The reversal of 11231332200 is 223313211.

It is a super-2 number, since 2×112313322002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11231332201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20532327 + ... + 20532873.

It is an arithmetic number, because the mean of its divisors is an integer number (77019345).

Almost surely, 211231332200 is an apocalyptic number.

11231332200 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 11231332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22181571360).

11231332200 is an abundant number, since it is smaller than the sum of its proper divisors (33131810520).

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

11231332200 is a wasteful number, since it uses less digits than its factorization.

11231332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11231332200 its reverse (223313211), we get a palindrome (11454645411).

The spelling of 11231332200 in words is "eleven billion, two hundred thirty-one million, three hundred thirty-two thousand, two hundred".