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104422130015200 = 25521094451269041
BaseRepresentation
bin10111101111100010101011…
…111101110101101111100000
3111200201122202210002212000021
4113233202223331311233200
5102141323010240441300
61010030510404003224
730665151504111214
oct2757425375655740
9450648683085007
10104422130015200
11302aa1a41290a8
12b865860090514
134635c7032435a
141bb00b545a944
15c113d4dd4d1a
hex5ef8abf75be0

104422130015200 has 144 divisors (see below), whose sum is σ = 257317999812720. Its totient is φ = 41376199680000.

The previous prime is 104422130015191. The next prime is 104422130015209. The reversal of 104422130015200 is 2510031224401.

It is an interprime number because it is at equal distance from previous prime (104422130015191) and next prime (104422130015209).

It is a super-3 number, since 3×1044221300152003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104422130015209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387992680 + ... + 388261720.

It is an arithmetic number, because the mean of its divisors is an integer number (1786930554255).

Almost surely, 2104422130015200 is an apocalyptic number.

104422130015200 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 104422130015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128658999906360).

104422130015200 is an abundant number, since it is smaller than the sum of its proper divisors (152895869797520).

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

104422130015200 is a wasteful number, since it uses less digits than its factorization.

104422130015200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273621 (or 273608 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 104422130015200 its reverse (2510031224401), we get a palindrome (106932161239601).

The spelling of 104422130015200 in words is "one hundred four trillion, four hundred twenty-two billion, one hundred thirty million, fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 109 160 200 218 400 436 545 800 872 1090 1744 2180 2725 3488 4360 4451 5450 8720 8902 10900 17440 17804 21800 22255 35608 43600 44510 71216 87200 89020 111275 142432 178040 222550 269041 356080 445100 485159 538082 712160 890200 970318 1076164 1345205 1780400 1940636 2152328 2425795 2690410 3560800 3881272 4304656 4851590 5380820 6726025 7762544 8609312 9703180 10761640 12128975 13452050 15525088 19406360 21523280 24257950 26904100 29325469 38812720 43046560 48515900 53808200 58650938 77625440 97031800 107616400 117301876 146627345 194063600 215232800 234603752 293254690 388127200 469207504 586509380 733136725 938415008 1173018760 1197501491 1466273450 2346037520 2395002982 2932546900 4692075040 4790005964 5865093800 5987507455 9580011928 11730187600 11975014910 19160023856 23460375200 23950029820 29937537275 38320047712 47900059640 59875074550 95800119280 119750149100 130527662519 191600238560 239500298200 261055325038 479000596400 522110650076 652638312595 958001192800 1044221300152 1305276625190 2088442600304 2610553250380 3263191562975 4176885200608 5221106500760 6526383125950 10442213001520 13052766251900 20884426003040 26105532503800 52211065007600 104422130015200