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41120103120 = 24351391232617
BaseRepresentation
bin100110010010111100…
…101111101011010000
310221010201201200010020
4212102330233223100
51133203221244440
630520150303440
72653665052365
oct462274575320
9127121650106
1041120103120
11164912540a8
127b77057b80
133b54151585
141dc126046c
151109ede3d0
hex992f2fad0

41120103120 has 80 divisors (see below), whose sum is σ = 128389490880. Its totient is φ = 10886464512.

The previous prime is 41120103119. The next prime is 41120103151. The reversal of 41120103120 is 2130102114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41120103120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 582949 + ... + 649668.

It is an arithmetic number, because the mean of its divisors is an integer number (1604868636).

Almost surely, 241120103120 is an apocalyptic number.

41120103120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41120103120 is an abundant number, since it is smaller than the sum of its proper divisors (87269387760).

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

41120103120 is a wasteful number, since it uses less digits than its factorization.

41120103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232772 (or 1232766 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 41120103120 its reverse (2130102114), we get a palindrome (43250205234).

The spelling of 41120103120 in words is "forty-one billion, one hundred twenty million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 5560 6672 8340 11120 16680 33360 1232617 2465234 3697851 4930468 6163085 7395702 9860936 12326170 14791404 18489255 19721872 24652340 29582808 36978510 49304680 59165616 73957020 98609360 147914040 171333763 295828080 342667526 514001289 685335052 856668815 1028002578 1370670104 1713337630 2056005156 2570006445 2741340208 3426675260 4112010312 5140012890 6853350520 8224020624 10280025780 13706701040 20560051560 41120103120