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41101132000 = 255311179199
BaseRepresentation
bin100110010001110100…
…011000000011100000
310221002102000211122011
4212101310120003200
51133133342211000
630514231522304
72653344600115
oct462164300340
9127072024564
1041101132000
1116481576895
127b70829394
133b5023b566
141dbc92290c
1511084e32ba
hex991d180e0

41101132000 has 96 divisors (see below), whose sum is σ = 101086876800. Its totient is φ = 16423948800.

The previous prime is 41101131991. The next prime is 41101132013. The reversal of 41101132000 is 23110114.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4463401 + ... + 4472599.

It is an arithmetic number, because the mean of its divisors is an integer number (1052988300).

Almost surely, 241101132000 is an apocalyptic number.

41101132000 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 41101132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50543438400).

41101132000 is an abundant number, since it is smaller than the sum of its proper divisors (59985744800).

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

41101132000 is a wasteful number, since it uses less digits than its factorization.

41101132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10341 (or 10323 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 41101132000 its reverse (23110114), we get a palindrome (41124242114).

The spelling of 41101132000 in words is "forty-one billion, one hundred one million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1117 2000 2234 4000 4468 5585 8936 9199 11170 17872 18398 22340 27925 35744 36796 44680 45995 55850 73592 89360 91990 111700 139625 147184 178720 183980 223400 229975 279250 294368 367960 446800 459950 558500 735920 893600 919900 1117000 1149875 1471840 1839800 2234000 2299750 3679600 4468000 4599500 7359200 9199000 10275283 18398000 20550566 36796000 41101132 51376415 82202264 102752830 164404528 205505660 256882075 328809056 411011320 513764150 822022640 1027528300 1284410375 1644045280 2055056600 2568820750 4110113200 5137641500 8220226400 10275283000 20550566000 41101132000