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201100330200 = 233527112795009
BaseRepresentation
bin1011101101001010000…
…0111000010011011000
3201020002000202020202210
42323102200320103120
511243323141031300
6232214553555120
720346311413530
oct2732240702330
9636060666683
10201100330200
1178316991600
1232b84115aa0
1315c6b287233
149a3a2a84c0
15536ed73050
hex2ed28384d8

201100330200 has 576 divisors, whose sum is σ = 793199232000. Its totient is φ = 41249894400.

The previous prime is 201100330199. The next prime is 201100330231. The reversal of 201100330200 is 2033001102.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40145296 + ... + 40150304.

It is an arithmetic number, because the mean of its divisors is an integer number (1377082000).

Almost surely, 2201100330200 is an apocalyptic number.

201100330200 is a gapful number since it is divisible by the number (20) 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 201100330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396599616000).

201100330200 is an abundant number, since it is smaller than the sum of its proper divisors (592098901800).

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

201100330200 is a wasteful number, since it uses less digits than its factorization.

201100330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 201100330200 its reverse (2033001102), we get a palindrome (203133331302).

The spelling of 201100330200 in words is "two hundred one billion, one hundred million, three hundred thirty thousand, two hundred".