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1101330000 = 2433544079
BaseRepresentation
bin100000110100100…
…1111011001010000
32211202100100202000
41001221033121100
54223420030000
6301141154000
736202102431
oct10151173120
92752310660
101101330000
11515743591
122689bb900
13147228174
14a63a7488
1566a4a000
hex41a4f650

1101330000 has 200 divisors, whose sum is σ = 3951235200. Its totient is φ = 293616000.

The previous prime is 1101329993. The next prime is 1101330001. The reversal of 1101330000 is 331011.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101330001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 267961 + ... + 272039.

It is an arithmetic number, because the mean of its divisors is an integer number (19756176).

Almost surely, 21101330000 is an apocalyptic number.

1101330000 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 1101330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975617600).

1101330000 is an abundant number, since it is smaller than the sum of its proper divisors (2849905200).

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

1101330000 is an equidigital number, since it uses as much as digits as its factorization.

1101330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4089 counting only the distinct ones).

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

The square root of 1101330000 is about 33186.2923509090. The cubic root of 1101330000 is about 1032.6959880599.

Adding to 1101330000 its reverse (331011), we get a palindrome (1101661011).

The spelling of 1101330000 in words is "one billion, one hundred one million, three hundred thirty thousand".