Search a number
-
+
11003322000 = 2435311293569
BaseRepresentation
bin10100011111101100…
…10101111010010000
31001101211200200011110
422033312111322100
5140013322301000
65015503213320
7536446456656
oct121766257220
931354620143
1011003322000
1147370a7750
122170ba7240
13106481b728
147654d6dd6
15445ee8850
hex28fd95e90

11003322000 has 320 divisors, whose sum is σ = 38900010240. Its totient is φ = 2653696000.

The previous prime is 11003321999. The next prime is 11003322019. The reversal of 11003322000 is 22330011.

It is a happy number.

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

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19337716 + ... + 19338284.

It is an arithmetic number, because the mean of its divisors is an integer number (121562532).

Almost surely, 211003322000 is an apocalyptic number.

11003322000 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 11003322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450005120).

11003322000 is an abundant number, since it is smaller than the sum of its proper divisors (27896688240).

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

11003322000 is a wasteful number, since it uses less digits than its factorization.

11003322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 883 counting only the distinct ones).

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

Adding to 11003322000 its reverse (22330011), we get a palindrome (11025652011).

The spelling of 11003322000 in words is "eleven billion, three million, three hundred twenty-two thousand".