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104112323120 = 24513529718899
BaseRepresentation
bin110000011110110010…
…0111111101000110000
3100221201202201000001102
41200331210333220300
53201210223314440
6115454544223532
710344000100511
oct1407544775060
9327652630042
10104112323120
1140176768353
121821700aba8
139a8279aa30
145079292a08
152a9529ab15
hex183d93fa30

104112323120 has 80 divisors (see below), whose sum is σ = 260744248800. Its totient is φ = 38432182272.

The previous prime is 104112323039. The next prime is 104112323123. The reversal of 104112323120 is 21323211401.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 104112323092 and 104112323101.

It is not an unprimeable number, because it can be changed into a prime (104112323123) 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 15 ways as a sum of consecutive naturals, for example, 5499431 + ... + 5518329.

It is an arithmetic number, because the mean of its divisors is an integer number (3259303110).

Almost surely, 2104112323120 is an apocalyptic number.

104112323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104112323120 is an abundant number, since it is smaller than the sum of its proper divisors (156631925680).

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

104112323120 is a wasteful number, since it uses less digits than its factorization.

104112323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24222 (or 24216 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 104112323120 its reverse (21323211401), we get a palindrome (125435534521).

The spelling of 104112323120 in words is "one hundred four billion, one hundred twelve million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 5297 10594 18899 21188 26485 37798 42376 52970 68861 75596 84752 94495 105940 137722 151192 188990 211880 245687 275444 302384 344305 377980 423760 491374 550888 688610 755960 982748 1101776 1228435 1377220 1511920 1965496 2456870 2754440 3930992 4913740 5508880 9827480 19654960 100108003 200216006 400432012 500540015 800864024 1001080030 1301404039 1601728048 2002160060 2602808078 4004320120 5205616156 6507020195 8008640240 10411232312 13014040390 20822464624 26028080780 52056161560 104112323120