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204310022031000 = 2334532522345951
BaseRepresentation
bin101110011101000110100010…
…010010011000011010011000
3222210101211212201110201020000
4232131012202102120122120
5203234403411114443000
62002310421155333000
761014624544153464
oct5635064222303230
9883354781421200
10204310022031000
115a1104370a3466
121aab8798bb1160
138a00477318372
14386492d1214a4
15189488c4b9000
hexb9d1a2498698

204310022031000 has 160 divisors (see below), whose sum is σ = 714177032849280. Its totient is φ = 54482672520000.

The previous prime is 204310022030971. The next prime is 204310022031061. The reversal of 204310022031000 is 130220013402.

204310022031000 is a `hidden beast` number, since 2 + 0 + 431 + 0 + 0 + 220 + 3 + 10 + 0 + 0 = 666.

204310022031000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2043100220310002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1261091976 + ... + 1261253975.

It is an arithmetic number, because the mean of its divisors is an integer number (4463606455308).

Almost surely, 2204310022031000 is an apocalyptic number.

204310022031000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204310022031000 is an abundant number, since it is smaller than the sum of its proper divisors (509867010818280).

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

204310022031000 is a wasteful number, since it uses less digits than its factorization.

204310022031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522345984 (or 2522345961 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 204310022031000 its reverse (130220013402), we get a palindrome (204440242044402).

The spelling of 204310022031000 in words is "two hundred four trillion, three hundred ten billion, twenty-two million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1800 2025 2250 2700 3000 3240 3375 4050 4500 5400 6750 8100 9000 10125 13500 16200 20250 27000 40500 81000 2522345951 5044691902 7567037853 10089383804 12611729755 15134075706 20178767608 22701113559 25223459510 30268151412 37835189265 45402227118 50446919020 60536302824 63058648775 68103340677 75670378530 90804454236 100893838040 113505567795 126117297550 136206681354 151340757060 181608908472 189175946325 204310022031 227011135590 252234595100 272413362708 302681514120 315293243875 340516703385 378351892650 408620044062 454022271180 504469190200 544826725416 567527838975 630586487750 681033406770 756703785300 817240088124 908044542360 945879731625 1021550110155 1135055677950 1261172975500 1362066813540 1513407570600 1634480176248 1702583516925 1891759463250 2043100220310 2270111355900 2522345951000 2724133627080 2837639194875 3405167033850 3783518926500 4086200440620 4540222711800 5107750550775 5675278389750 6810334067700 7567037853000 8172400881240 8512917584625 10215501101550 11350556779500 13620668135400 17025835169250 20431002203100 22701113559000 25538752753875 34051670338500 40862004406200 51077505507750 68103340677000 102155011015500 204310022031000