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11043141200 = 2452713714273
BaseRepresentation
bin10100100100011100…
…01111011001010000
31001111121121200211122
422102032033121100
5140104021004300
65023444501412
7540442102640
oct122216173120
931447550748
1011043141200
114757624483
1221823aa868
13106cb50ba0
1476a900520
15449761c85
hex29238f650

11043141200 has 240 divisors, whose sum is σ = 33121380096. Its totient is φ = 3444940800.

The previous prime is 11043141167. The next prime is 11043141209. The reversal of 11043141200 is 214134011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11043141209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2582264 + ... + 2586536.

Almost surely, 211043141200 is an apocalyptic number.

11043141200 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 11043141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16560690048).

11043141200 is an abundant number, since it is smaller than the sum of its proper divisors (22078238896).

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

11043141200 is a wasteful number, since it uses less digits than its factorization.

11043141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11043141200 its reverse (214134011), we get a palindrome (11257275211).

The spelling of 11043141200 in words is "eleven billion, forty-three million, one hundred forty-one thousand, two hundred".