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104050525125 = 35317236831039
BaseRepresentation
bin110000011100111100…
…1010000001111000101
3100221120110102100010210
41200321321100033011
53201043413301000
6115444455510033
710342316604441
oct1407171201705
9327513370123
10104050525125
1140144899628
12181ba388319
139a72a41581
145070da7821
152a8eb40350
hex1839e503c5

104050525125 has 128 divisors (see below), whose sum is σ = 191759892480. Its totient is φ = 49837286400.

The previous prime is 104050525121. The next prime is 104050525127. The reversal of 104050525125 is 521525050401.

It is not a de Polignac number, because 104050525125 - 22 = 104050525121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 104050525092 and 104050525101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104050525121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100144356 + ... + 100145394.

It is an arithmetic number, because the mean of its divisors is an integer number (1498124160).

Almost surely, 2104050525125 is an apocalyptic number.

104050525125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104050525125 is a deficient number, since it is larger than the sum of its proper divisors (87709367355).

104050525125 is a wasteful number, since it uses less digits than its factorization.

104050525125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

Adding to 104050525125 its reverse (521525050401), we get a palindrome (625575575526).

The spelling of 104050525125 in words is "one hundred four billion, fifty million, five hundred twenty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 15 17 23 25 51 69 75 85 115 125 255 345 375 391 425 575 683 1039 1173 1275 1725 1955 2049 2125 2875 3117 3415 5195 5865 6375 8625 9775 10245 11611 15585 15709 17075 17663 23897 25975 29325 34833 47127 48875 51225 52989 58055 71691 77925 78545 85375 88315 119485 129875 146625 174165 235635 256125 264945 267053 290275 358455 389625 392725 406249 441575 597425 709637 801159 870825 1178175 1218747 1324725 1335265 1451375 1792275 1963625 2031245 2128911 2207875 2987125 3548185 4005795 4354125 5890875 6093735 6623625 6676325 8961375 10156225 10644555 12063829 16321651 17740925 20028975 30468675 33381625 36191487 48964953 50781125 53222775 60319145 81608255 88704625 100144875 152343375 180957435 244824765 266113875 277468067 301595725 408041275 832404201 904787175 1224123825 1387340335 1507978625 2040206375 4162021005 4523935875 6120619125 6936701675 20810105025 34683508375 104050525125