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41100425200 = 24521971992621
BaseRepresentation
bin100110010001110001…
…101011011111110000
310221002100200221002101
4212101301223133300
51133133202101300
630514204430144
72653335564352
oct462161533760
9127070627071
1041100425200
111648113385a
127b70548354
133b50051933
141dbc7bb0d2
151108403b6a
hex991c6b7f0

41100425200 has 120 divisors (see below), whose sum is σ = 99781783200. Its totient is φ = 16268313600.

The previous prime is 41100425167. The next prime is 41100425209. The reversal of 41100425200 is 252400114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41100425209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15679890 + ... + 15682510.

It is an arithmetic number, because the mean of its divisors is an integer number (831514860).

Almost surely, 241100425200 is an apocalyptic number.

41100425200 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 41100425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49890891600).

41100425200 is an abundant number, since it is smaller than the sum of its proper divisors (58681358000).

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

41100425200 is a wasteful number, since it uses less digits than its factorization.

41100425200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 41100425200 its reverse (252400114), we get a palindrome (41352825314).

The spelling of 41100425200 in words is "forty-one billion, one hundred million, four hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 197 199 200 394 398 400 788 796 985 995 1576 1592 1970 1990 2621 3152 3184 3940 3980 4925 4975 5242 7880 7960 9850 9950 10484 13105 15760 15920 19700 19900 20968 26210 39203 39400 39800 41936 52420 65525 78406 78800 79600 104840 131050 156812 196015 209680 262100 313624 392030 516337 521579 524200 627248 784060 980075 1032674 1043158 1048400 1568120 1960150 2065348 2086316 2581685 2607895 3136240 3920300 4130696 4172632 5163370 5215790 7840600 8261392 8345264 10326740 10431580 12908425 13039475 15681200 20653480 20863160 25816850 26078950 41306960 41726320 51633700 52157900 102751063 103267400 104315800 205502126 206534800 208631600 411004252 513755315 822008504 1027510630 1644017008 2055021260 2568776575 4110042520 5137553150 8220085040 10275106300 20550212600 41100425200