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11141330200 = 2352711131929101
BaseRepresentation
bin10100110000001001…
…10011010100011000
31001202110101012211021
422120010303110120
5140304140031300
65041313212224
7543043513150
oct123004632430
931673335737
1011141330200
1147a7a99310
1221ab261074
1310872ac2a0
1477997d760
154531a9d1a
hex298133518

11141330200 has 768 divisors, whose sum is σ = 38247552000. Its totient is φ = 2903040000.

The previous prime is 11141330191. The next prime is 11141330209. The reversal of 11141330200 is 203314111.

It is an interprime number because it is at equal distance from previous prime (11141330191) and next prime (11141330209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141330209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110310150 + ... + 110310250.

It is an arithmetic number, because the mean of its divisors is an integer number (49801500).

Almost surely, 211141330200 is an apocalyptic number.

11141330200 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 11141330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123776000).

11141330200 is an abundant number, since it is smaller than the sum of its proper divisors (27106221800).

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

11141330200 is a wasteful number, since it uses less digits than its factorization.

11141330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11141330200 its reverse (203314111), we get a palindrome (11344644311).

The spelling of 11141330200 in words is "eleven billion, one hundred forty-one million, three hundred thirty thousand, two hundred".