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11023200000 = 2832551531
BaseRepresentation
bin10100100010000100…
…01010111100000000
31001110020002120122200
422101002022330000
5140033414400000
65021453233200
7540110440221
oct122102127400
931406076580
1011023200000
11474734434a
122177792800
13106898b467
14767dcd248
15447b23500
hex29108af00

11023200000 has 324 divisors, whose sum is σ = 39751658856. Its totient is φ = 2937600000.

The previous prime is 11023199939. The next prime is 11023200103. The reversal of 11023200000 is 232011.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7199235 + ... + 7200765.

Almost surely, 211023200000 is an apocalyptic number.

11023200000 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 11023200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19875829428).

11023200000 is an abundant number, since it is smaller than the sum of its proper divisors (28728458856).

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

11023200000 is an frugal number, since it uses more digits than its factorization.

11023200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1541 counting only the distinct ones).

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

Adding to 11023200000 its reverse (232011), we get a palindrome (11023432011).

The spelling of 11023200000 in words is "eleven billion, twenty-three million, two hundred thousand".