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11003010200 = 23527131947677
BaseRepresentation
bin10100011111101010…
…01001110010011000
31001101211002211110022
422033311021302120
5140013232311300
65015452410012
7536444020640
oct121765116230
931354084408
1011003010200
114736a04466
122170a76908
13106473c830
14765455520
15445e86285
hex28fd49c98

11003010200 has 384 divisors, whose sum is σ = 33897830400. Its totient is φ = 3224033280.

The previous prime is 11003010199. The next prime is 11003010209. The reversal of 11003010200 is 201030011.

11003010200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110030102002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11003010209) 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 95 ways as a sum of consecutive naturals, for example, 16252262 + ... + 16252938.

It is an arithmetic number, because the mean of its divisors is an integer number (88275600).

Almost surely, 211003010200 is an apocalyptic number.

11003010200 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 11003010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16948915200).

11003010200 is an abundant number, since it is smaller than the sum of its proper divisors (22894820200).

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

11003010200 is a wasteful number, since it uses less digits than its factorization.

11003010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 11003010200 its reverse (201030011), we get a palindrome (11204040211).

The spelling of 11003010200 in words is "eleven billion, three million, ten thousand, two hundred".