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204344303113000 = 2353415219566233
BaseRepresentation
bin101110011101100110011101…
…100110010101001100101000
3222210112010100211101010001201
4232131212131212111030220
5203240434113044104000
62002334251002053544
761020250216434121
oct5635463546251450
9883463324333051
10204344303113000
115a123a28953796
121ab033657aa2b4
138a0377b607b7b
143866461d6b048
1518956e6d8b96a
hexb9d99d995328

204344303113000 has 128 divisors (see below), whose sum is σ = 490768467265440. Its totient is φ = 79591050240000.

The previous prime is 204344303112997. The next prime is 204344303113001. The reversal of 204344303113000 is 311303443402.

It can be written as a sum of positive squares in 16 ways, for example, as 49637125711044 + 154707177401956 = 7045362^2 + 12438134^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204344303113000.

It is not an unprimeable number, because it can be changed into a prime (204344303113001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16577884 + ... + 26144116.

Almost surely, 2204344303113000 is an apocalyptic number.

204344303113000 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 204344303113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245384233632720).

204344303113000 is an abundant number, since it is smaller than the sum of its proper divisors (286424164152440).

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

204344303113000 is a wasteful number, since it uses less digits than its factorization.

204344303113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9566816 (or 9566802 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 204344303113000 its reverse (311303443402), we get a palindrome (204655606556402).

The spelling of 204344303113000 in words is "two hundred four trillion, three hundred forty-four billion, three hundred three million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 521 820 1000 1025 1042 1640 2050 2084 2605 4100 4168 5125 5210 8200 10250 10420 13025 20500 20840 21361 26050 41000 42722 52100 65125 85444 104200 106805 130250 170888 213610 260500 427220 521000 534025 854440 1068050 2136100 2670125 4272200 5340250 9566233 10680500 19132466 21361000 38264932 47831165 76529864 95662330 191324660 239155825 382649320 392215553 478311650 784431106 956623300 1195779125 1568862212 1913246600 1961077765 2391558250 3137724424 3922155530 4783116500 4984007393 7844311060 9566233000 9805388825 9968014786 15688622120 19610777650 19936029572 24920036965 39221555300 39872059144 49026944125 49840073930 78443110600 98053888250 99680147860 124600184825 196107776500 199360295720 204344303113 249200369650 392215553000 408688606226 498400739300 623000924125 817377212452 996801478600 1021721515565 1246001848250 1634754424904 2043443031130 2492003696500 4086886062260 4984007393000 5108607577825 8173772124520 10217215155650 20434430311300 25543037889125 40868860622600 51086075778250 102172151556500 204344303113000