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11201200000 = 275541683
BaseRepresentation
bin10100110111010010…
…01011111110000000
31001220122000220202021
422123221023332000
5140420001400000
65051252331224
7544401425524
oct123351137600
931818026667
1011201200000
114828870391
122207313b14
131096811bc3
147838c5d84
1545858411a
hex29ba4bf80

11201200000 has 192 divisors, whose sum is σ = 28613949840. Its totient is φ = 4364800000.

The previous prime is 11201199991. The next prime is 11201200001. The reversal of 11201200000 is 210211.

11201200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16399659 + ... + 16400341.

Almost surely, 211201200000 is an apocalyptic number.

11201200000 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 11201200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14306974920).

11201200000 is an abundant number, since it is smaller than the sum of its proper divisors (17412749840).

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

11201200000 is an frugal number, since it uses more digits than its factorization.

11201200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11201200000 its reverse (210211), we get a palindrome (11201410211).

The spelling of 11201200000 in words is "eleven billion, two hundred one million, two hundred thousand".