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312433103431000 = 23531923370574453
BaseRepresentation
bin100011100001010000000000…
…0001001010110010101011000
31111222020022110011112121000101
41013002200000021112111120
5311422400443434243000
63024253441455545144
7122544355363100206
oct10702400011262530
91458208404477011
10312433103431000
1190607153855362
122b05b76622b1b4
1310544413754716
145721bb2c70076
15261c17e476e6a
hex11c2800256558

312433103431000 has 128 divisors (see below), whose sum is σ = 772874960644800. Its totient is φ = 117887564620800.

The previous prime is 312433103430937. The next prime is 312433103431067. The reversal of 312433103431000 is 134301334213.

It is a super-2 number, since 2×3124331034310002 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312433103431000.

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, 30860227 + ... + 39714226.

Almost surely, 2312433103431000 is an apocalyptic number.

It is an amenable number.

312433103431000 is an abundant number, since it is smaller than the sum of its proper divisors (460441857213800).

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

312433103431000 is a wasteful number, since it uses less digits than its factorization.

312433103431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70574726 (or 70574712 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 312433103431000 its reverse (134301334213), we get a palindrome (312567404765213).

The spelling of 312433103431000 in words is "three hundred twelve trillion, four hundred thirty-three billion, one hundred three million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 233 250 380 466 475 500 760 932 950 1000 1165 1864 1900 2330 2375 3800 4427 4660 4750 5825 8854 9320 9500 11650 17708 19000 22135 23300 29125 35416 44270 46600 58250 88540 110675 116500 177080 221350 233000 442700 553375 885400 1106750 2213500 4427000 70574453 141148906 282297812 352872265 564595624 705744530 1340914607 1411489060 1764361325 2681829214 2822978120 3528722650 5363658428 6704573035 7057445300 8821806625 10727316856 13409146070 14114890600 16443847549 17643613250 26818292140 32887695098 33522865175 35287226500 53636584280 65775390196 67045730350 70574453000 82219237745 131550780392 134091460700 164438475490 167614325875 268182921400 312433103431 328876950980 335228651750 411096188725 624866206862 657753901960 670457303500 822192377450 1249732413724 1340914607000 1562165517155 1644384754900 2055480943625 2499464827448 3124331034310 3288769509800 4110961887250 6248662068620 7810827585775 8221923774500 12497324137240 15621655171550 16443847549000 31243310343100 39054137928875 62486620686200 78108275857750 156216551715500 312433103431000