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41120214200 = 235213192336191
BaseRepresentation
bin100110010010111101…
…001010110010111000
310221010201221022111022
4212102331022302320
51133203233323300
630520152522012
72653666024262
oct462275126270
9127121838438
1041120214200
111649131a5aa
127b770b0308
133b5418ccc0
141dc128cb32
15110a012285
hex992f4acb8

41120214200 has 192 divisors, whose sum is σ = 113092761600. Its totient is φ = 13757990400.

The previous prime is 41120214119. The next prime is 41120214211. The reversal of 41120214200 is 241202114.

41120214200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1118105 + ... + 1154295.

It is an arithmetic number, because the mean of its divisors is an integer number (589024800).

Almost surely, 241120214200 is an apocalyptic number.

41120214200 is a gapful number since it is divisible by the number (40) 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 41120214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56546380800).

41120214200 is an abundant number, since it is smaller than the sum of its proper divisors (71972547400).

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

41120214200 is a wasteful number, since it uses less digits than its factorization.

41120214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36262 (or 36253 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 41120214200 its reverse (241202114), we get a palindrome (41361416314).

The spelling of 41120214200 in words is "forty-one billion, one hundred twenty million, two hundred fourteen thousand, two hundred".