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11003220000 = 25325461129
BaseRepresentation
bin10100011111101011…
…11101000000100000
31001101211111111020200
422033311331000200
5140013311020000
65015501105200
7536445553413
oct121765750040
931354444220
1011003220000
114737038053
122170b58200
1310647b4186
147654abb7a
15445ec8500
hex28fd7d020

11003220000 has 180 divisors, whose sum is σ = 39101132070. Its totient is φ = 2934144000.

The previous prime is 11003219989. The next prime is 11003220001. The reversal of 11003220000 is 2230011.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 281031696 + 10722188304 = 16764^2 + 103548^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11003220001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 149436 + ... + 210564.

Almost surely, 211003220000 is an apocalyptic number.

11003220000 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 11003220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19550566035).

11003220000 is an abundant number, since it is smaller than the sum of its proper divisors (28097912070).

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

11003220000 is an equidigital number, since it uses as much as digits as its factorization.

11003220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61165 (or 61139 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 11003220000 its reverse (2230011), we get a palindrome (11005450011).

The spelling of 11003220000 in words is "eleven billion, three million, two hundred twenty thousand".