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11033022000 = 24353711213167
BaseRepresentation
bin10100100011001111…
…01000111000110000
31001110220120120220110
422101213220320300
5140043423201000
65022443541320
7540260065620
oct122147507060
931426516813
1011033022000
114751942800
12217ab2a840
13106aa19cb0
14769428880
15448913850
hex2919e8e30

11033022000 has 960 divisors, whose sum is σ = 48408901632. Its totient is φ = 2103552000.

The previous prime is 11033021999. The next prime is 11033022037. The reversal of 11033022000 is 22033011.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66065917 + ... + 66066083.

Almost surely, 211033022000 is an apocalyptic number.

11033022000 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 11033022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24204450816).

11033022000 is an abundant number, since it is smaller than the sum of its proper divisors (37375879632).

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

11033022000 is a wasteful number, since it uses less digits than its factorization.

11033022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

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

Adding to 11033022000 its reverse (22033011), we get a palindrome (11055055011).

The spelling of 11033022000 in words is "eleven billion, thirty-three million, twenty-two thousand".