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10233211000200 = 23352234127166739
BaseRepresentation
bin1001010011101001101011…
…1010000001010110001000
31100020021201001212112220020
42110322122322001112020
52320130104004001300
633433023334100440
72104216336213626
oct224723272012610
940207631775806
1010233211000200
113295975915221
1211933217aa720
13592cabb601b6
1427540bca8516
1512b2c8d638a0
hex94e9ae81588

10233211000200 has 384 divisors, whose sum is σ = 34035221606400. Its totient is φ = 2537111808000.

The previous prime is 10233211000193. The next prime is 10233211000283. The reversal of 10233211000200 is 200011233201.

It is a super-2 number, since 2×102332110002002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10233211000200.

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 95 ways as a sum of consecutive naturals, for example, 153298431 + ... + 153365169.

It is an arithmetic number, because the mean of its divisors is an integer number (88633389600).

Almost surely, 210233211000200 is an apocalyptic number.

10233211000200 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 10233211000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17017610803200).

10233211000200 is an abundant number, since it is smaller than the sum of its proper divisors (23802010606200).

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

10233211000200 is a wasteful number, since it uses less digits than its factorization.

10233211000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67093 (or 67084 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10233211000200 its reverse (200011233201), we get a palindrome (10433222233401).

The spelling of 10233211000200 in words is "ten trillion, two hundred thirty-three billion, two hundred eleven million, two hundred", and thus it is an aban number.