Search a number
-
+
204021341000 = 2353757269513
BaseRepresentation
bin1011111000000010011…
…1101001101101001000
3201111121121010222021222
42332000213221231020
511320313430403000
6233420501221212
720511560533151
oct2760047515510
9644547128258
10204021341000
1179585801214
123365a401808
13163154a34a9
149c361cc928
155491512a85
hex2f809e9b48

204021341000 has 64 divisors (see below), whose sum is σ = 478042372080. Its totient is φ = 81500428800.

The previous prime is 204021340997. The next prime is 204021341003. The reversal of 204021341000 is 143120402.

It is an interprime number because it is at equal distance from previous prime (204021340997) and next prime (204021341003).

It can be written as a sum of positive squares in 8 ways, for example, as 34595256004 + 169426084996 = 185998^2 + 411614^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204021341000.

It is not an unprimeable number, because it can be changed into a prime (204021341003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622244 + ... + 891756.

Almost surely, 2204021341000 is an apocalyptic number.

204021341000 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 204021341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239021186040).

204021341000 is an abundant number, since it is smaller than the sum of its proper divisors (274021031080).

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

204021341000 is a wasteful number, since it uses less digits than its factorization.

204021341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270291 (or 270277 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 204021341000 its reverse (143120402), we get a palindrome (204164461402).

The spelling of 204021341000 in words is "two hundred four billion, twenty-one million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 757 1000 1514 3028 3785 6056 7570 15140 18925 30280 37850 75700 94625 151400 189250 269513 378500 539026 757000 1078052 1347565 2156104 2695130 5390260 6737825 10780520 13475650 26951300 33689125 53902600 67378250 134756500 204021341 269513000 408042682 816085364 1020106705 1632170728 2040213410 4080426820 5100533525 8160853640 10201067050 20402134100 25502667625 40804268200 51005335250 102010670500 204021341000