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11033220000 = 253541173229
BaseRepresentation
bin10100100011010000…
…11001001110100000
31001110220221122111210
422101220121032200
5140044001020000
65022452110120
7540261552105
oct122150311640
931426848453
1011033220000
114751a68540
12217b005340
13106aa8915a
1476947aaac
15448952350
hex291a193a0

11033220000 has 480 divisors, whose sum is σ = 40196882880. Its totient is φ = 2626560000.

The previous prime is 11033219987. The next prime is 11033220043. The reversal of 11033220000 is 2233011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 48179886 + ... + 48180114.

It is an arithmetic number, because the mean of its divisors is an integer number (83743506).

Almost surely, 211033220000 is an apocalyptic number.

11033220000 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 11033220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20098441440).

11033220000 is an abundant number, since it is smaller than the sum of its proper divisors (29163662880).

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

11033220000 is a wasteful number, since it uses less digits than its factorization.

11033220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11033220000 its reverse (2233011), we get a palindrome (11035453011).

The spelling of 11033220000 in words is "eleven billion, thirty-three million, two hundred twenty thousand".