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11203000218 = 2332323338713
BaseRepresentation
bin10100110111100000…
…00011011110011010
31001220202102101012000
422123300003132122
5140420432001333
65051355101430
7544422634134
oct123360033632
931822371160
1011203000218
11482988a973
122207a41876
131096cc2417
14783c34054
154587dc713
hex29bc0379a

11203000218 has 64 divisors (see below), whose sum is σ = 26090138880. Its totient is φ = 3556548864.

The previous prime is 11203000213. The next prime is 11203000219. The reversal of 11203000218 is 81200030211.

11203000218 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 11203000218.

It is not an unprimeable number, because it can be changed into a prime (11203000213) 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 31 ways as a sum of consecutive naturals, for example, 270030 + ... + 308742.

It is an arithmetic number, because the mean of its divisors is an integer number (407658420).

Almost surely, 211203000218 is an apocalyptic number.

11203000218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11203000218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13045069440).

11203000218 is an abundant number, since it is smaller than the sum of its proper divisors (14887138662).

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

11203000218 is a wasteful number, since it uses less digits than its factorization.

11203000218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38980 (or 38974 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11203000218 its reverse (81200030211), we get a palindrome (92403030429).

The spelling of 11203000218 in words is "eleven billion, two hundred three million, two hundred eighteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 233 414 466 621 699 1242 1398 2097 4194 5359 6291 10718 12582 16077 32154 38713 48231 77426 96462 116139 144693 232278 289386 348417 696834 890399 1045251 1780798 2090502 2671197 5342394 8013591 9020129 16027182 18040258 24040773 27060387 48081546 54120774 81181161 162362322 207462967 243543483 414925934 487086966 622388901 1244777802 1867166703 3734333406 5601500109 11203000218