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104133123024 = 24372231924969
BaseRepresentation
bin110000011111011010…
…0010101101111010000
3100221210012211202011020
41200332310111233100
53201231034414044
6115501010115440
710344341640600
oct1407664255720
9327705752136
10104133123024
1140187484657
1218221b7bb80
139a86ba1278
14507bd48c00
152a97008a19
hex183ed15bd0

104133123024 has 120 divisors (see below), whose sum is σ = 326536511040. Its totient is φ = 28458726912.

The previous prime is 104133123007. The next prime is 104133123037. The reversal of 104133123024 is 420321331401.

It is a happy number.

104133123024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 104133122985 and 104133123003.

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 23 ways as a sum of consecutive naturals, for example, 908389 + ... + 1016580.

It is an arithmetic number, because the mean of its divisors is an integer number (2721137592).

Almost surely, 2104133123024 is an apocalyptic number.

104133123024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104133123024 is an abundant number, since it is smaller than the sum of its proper divisors (222403388016).

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

104133123024 is a wasteful number, since it uses less digits than its factorization.

104133123024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925017 (or 1925004 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 104133123024 its reverse (420321331401), we get a palindrome (524454454425).

The spelling of 104133123024 in words is "one hundred four billion, one hundred thirty-three million, one hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 276 294 322 336 368 392 483 552 588 644 784 966 1104 1127 1176 1288 1932 2254 2352 2576 3381 3864 4508 6762 7728 9016 13524 18032 27048 54096 1924969 3849938 5774907 7699876 11549814 13474783 15399752 23099628 26949566 30799504 40424349 44274287 46199256 53899132 80848698 88548574 92398512 94323481 107798264 132822861 161697396 177097148 188646962 215596528 265645722 282970443 309920009 323394792 354194296 377293924 531291444 565940886 619840018 646789584 708388592 754587848 929760027 1062582888 1131881772 1239680036 1509175696 1859520054 2125165776 2169440063 2263763544 2479360072 3719040108 4338880126 4527527088 4958720144 6508320189 7438080216 8677760252 13016640378 14876160432 17355520504 26033280756 34711041008 52066561512 104133123024