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204031221000 = 23353587115861
BaseRepresentation
bin1011111000000100110…
…1010101110100001000
3201111122021201221002220
42332001031111310020
511320323443033000
6233421453054040
720512040522625
oct2760115256410
9644567657086
10204031221000
117959033a202
1233661787320
1316317552549
149c3764134c
1554923151a0
hex2f81355d08

204031221000 has 128 divisors (see below), whose sum is σ = 637667372160. Its totient is φ = 54315168000.

The previous prime is 204031220851. The next prime is 204031221001. The reversal of 204031221000 is 122130402.

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

It is not an unprimeable number, because it can be changed into a prime (204031221001) 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 31 ways as a sum of consecutive naturals, for example, 1703070 + ... + 1818930.

It is an arithmetic number, because the mean of its divisors is an integer number (4981776345).

Almost surely, 2204031221000 is an apocalyptic number.

204031221000 is a gapful number since it is divisible by the number (20) 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 204031221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318833686080).

204031221000 is an abundant number, since it is smaller than the sum of its proper divisors (433636151160).

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

204031221000 is a wasteful number, since it uses less digits than its factorization.

204031221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116472 (or 116458 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 204031221000 its reverse (122130402), we get a palindrome (204153351402).

The spelling of 204031221000 in words is "two hundred four billion, thirty-one million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 587 600 750 1000 1174 1500 1761 2348 2935 3000 3522 4696 5870 7044 8805 11740 14088 14675 17610 23480 29350 35220 44025 58700 70440 73375 88050 115861 117400 146750 176100 220125 231722 293500 347583 352200 440250 463444 579305 587000 695166 880500 926888 1158610 1390332 1737915 1761000 2317220 2780664 2896525 3475830 4634440 5793050 6951660 8689575 11586100 13903320 14482625 17379150 23172200 28965250 34758300 43447875 57930500 68010407 69516600 86895750 115861000 136020814 173791500 204031221 272041628 340052035 347583000 408062442 544083256 680104070 816124884 1020156105 1360208140 1632249768 1700260175 2040312210 2720416280 3400520350 4080624420 5100780525 6801040700 8161248840 8501300875 10201561050 13602081400 17002601750 20403122100 25503902625 34005203500 40806244200 51007805250 68010407000 102015610500 204031221000