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10204323000 = 2335312726783
BaseRepresentation
bin10011000000011100…
…11001110010111000
3222100011020022120220
421200032121302320
5131344301314000
64404322020040
7510605212554
oct114016316270
928304208526
1010204323000
11436708a9a3
121b894a7620
13c68129361
146cb34c864
153eacbd1a0
hex260399cb8

10204323000 has 128 divisors (see below), whose sum is σ = 32089374720. Its totient is φ = 2699625600.

The previous prime is 10204322977. The next prime is 10204323137. The reversal of 10204323000 is 32340201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367609 + ... + 394391.

It is an arithmetic number, because the mean of its divisors is an integer number (250698240).

Almost surely, 210204323000 is an apocalyptic number.

10204323000 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 10204323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16044687360).

10204323000 is an abundant number, since it is smaller than the sum of its proper divisors (21885051720).

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

10204323000 is a wasteful number, since it uses less digits than its factorization.

10204323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26934 (or 26920 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10204323000 its reverse (32340201), we get a palindrome (10236663201).

The spelling of 10204323000 in words is "ten billion, two hundred four million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 127 150 200 250 254 300 375 381 500 508 600 635 750 762 1000 1016 1270 1500 1524 1905 2540 3000 3048 3175 3810 5080 6350 7620 9525 12700 15240 15875 19050 25400 26783 31750 38100 47625 53566 63500 76200 80349 95250 107132 127000 133915 160698 190500 214264 267830 321396 381000 401745 535660 642792 669575 803490 1071320 1339150 1606980 2008725 2678300 3213960 3347875 3401441 4017450 5356600 6695750 6802882 8034900 10043625 10204323 13391500 13605764 16069800 17007205 20087250 20408646 26783000 27211528 34014410 40174500 40817292 51021615 68028820 80349000 81634584 85036025 102043230 136057640 170072050 204086460 255108075 340144100 408172920 425180125 510216150 680288200 850360250 1020432300 1275540375 1700720500 2040864600 2551080750 3401441000 5102161500 10204323000