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11001100000 = 25551173137
BaseRepresentation
bin10100011111011011…
…10111011011100000
31001101200111210011011
422033231313123200
5140012240200000
65015343430304
7536421543562
oct121755673340
931350453134
1011001100000
11473591a290
1221702b5394
131064221237
147650b9332
15445c0a2ba
hex28fb776e0

11001100000 has 288 divisors, whose sum is σ = 30155382432. Its totient is φ = 3916800000.

The previous prime is 11001099953. The next prime is 11001100013. The reversal of 11001100000 is 110011.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80299932 + ... + 80300068.

It is an arithmetic number, because the mean of its divisors is an integer number (104706189).

Almost surely, 211001100000 is an apocalyptic number.

11001100000 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 11001100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15077691216).

11001100000 is an abundant number, since it is smaller than the sum of its proper divisors (19154282432).

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

11001100000 is an equidigital number, since it uses as much as digits as its factorization.

11001100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 11001100000 its reverse (110011), we get a palindrome (11001210011).

11001100000 divided by its reverse (110011) gives a 5-th power (100000 = 105).

The spelling of 11001100000 in words is "eleven billion, one million, one hundred thousand".