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104113412120 = 235171399109441
BaseRepresentation
bin110000011110110100…
…1001001100000011000
3100221201211202022212202
41200331221021200120
53201211013141440
6115455023425332
710344012254444
oct1407551114030
9327654668782
10104113412120
1140177341553
1218217455248
139a82a8c603
145079497824
152a95413615
hex183da49818

104113412120 has 64 divisors (see below), whose sum is σ = 248214456000. Its totient is φ = 39167262720.

The previous prime is 104113412119. The next prime is 104113412129. The reversal of 104113412120 is 21214311401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 104113412092 and 104113412101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104113412129) 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, 896600 + ... + 1006040.

It is an arithmetic number, because the mean of its divisors is an integer number (3878350875).

Almost surely, 2104113412120 is an apocalyptic number.

104113412120 is a gapful number since it is divisible by the number (10) 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 104113412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124107228000).

104113412120 is an abundant number, since it is smaller than the sum of its proper divisors (144101043880).

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

104113412120 is a wasteful number, since it uses less digits than its factorization.

104113412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110868 (or 110864 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 104113412120 its reverse (21214311401), we get a palindrome (125327723521).

The spelling of 104113412120 in words is "one hundred four billion, one hundred thirteen million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1399 2798 5596 6995 11192 13990 23783 27980 47566 55960 95132 109441 118915 190264 218882 237830 437764 475660 547205 875528 951320 1094410 1860497 2188820 3720994 4377640 7441988 9302485 14883976 18604970 37209940 74419880 153107959 306215918 612431836 765539795 1224863672 1531079590 2602835303 3062159180 5205670606 6124318360 10411341212 13014176515 20822682424 26028353030 52056706060 104113412120