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41101132320 = 253359514151
BaseRepresentation
bin100110010001110100…
…011000001000100000
310221002102000212002000
4212101310120020200
51133133342213240
630514231524000
72653344601053
oct462164301040
9127072025060
1041101132320
1116481577056
127b70829600
133b5023b751
141dbc922a9a
1511084e3430
hex991d18220

41101132320 has 96 divisors (see below), whose sum is σ = 143853978240. Its totient is φ = 10960300800.

The previous prime is 41101132313. The next prime is 41101132321. The reversal of 41101132320 is 2323110114.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×411011323202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41101132293 and 41101132302.

It is not an unprimeable number, because it can be changed into a prime (41101132321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4752756 + ... + 4761395.

It is an arithmetic number, because the mean of its divisors is an integer number (1498478940).

Almost surely, 241101132320 is an apocalyptic number.

41101132320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41101132320 is an abundant number, since it is smaller than the sum of its proper divisors (102752845920).

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

41101132320 is a wasteful number, since it uses less digits than its factorization.

41101132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9514175 (or 9514161 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 41101132320 its reverse (2323110114), we get a palindrome (43424242434).

The spelling of 41101132320 in words is "forty-one billion, one hundred one million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 9514151 19028302 28542453 38056604 47570755 57084906 76113208 85627359 95141510 114169812 142712265 152226416 171254718 190283020 228339624 256882077 285424530 304452832 342509436 380566040 428136795 456679248 513764154 570849060 685018872 761132080 856273590 913358496 1027528308 1141698120 1284410385 1370037744 1522264160 1712547180 2055056616 2283396240 2568820770 2740075488 3425094360 4110113232 4566792480 5137641540 6850188720 8220226464 10275283080 13700377440 20550566160 41101132320