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11002122010200 = 23352131271516517
BaseRepresentation
bin1010000000011010000110…
…0100101111111001011000
31102221210101210120222001210
42200012201210233321120
52420224321213311300
635222145521343120
72213606561031066
oct240064144577130
942853353528053
1011002122010200
113561a79060652
121298350497aa0
1361a659c4a2a9
142a0711311036
151412ccb1d050
hexa01a192fe58

11002122010200 has 192 divisors, whose sum is σ = 34493815825920. Its totient is φ = 2900753856000.

The previous prime is 11002122010091. The next prime is 11002122010213. The reversal of 11002122010200 is 201022120011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21042342 + ... + 21558858.

It is an arithmetic number, because the mean of its divisors is an integer number (179655290760).

Almost surely, 211002122010200 is an apocalyptic number.

11002122010200 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 11002122010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17246907912960).

11002122010200 is an abundant number, since it is smaller than the sum of its proper divisors (23491693815720).

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

11002122010200 is a wasteful number, since it uses less digits than its factorization.

11002122010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516938 (or 516929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11002122010200 its reverse (201022120011), we get a palindrome (11203144130211).

The spelling of 11002122010200 in words is "eleven trillion, two billion, one hundred twenty-two million, ten thousand, two hundred".