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317157431217000 = 23353119610831249
BaseRepresentation
bin100100000011100111111100…
…0000001101000101101101000
31112120221221202200202021020120
41020013033320001220231220
5313032301404342421000
63042312040144123240
7123542603543514543
oct11007177001505550
91476857680667216
10317157431217000
1192068790710290
122b6a329a006520
13107c7a81b9251a
14584670447785a
15269eed51776a0
hex12073f8068b68

317157431217000 has 128 divisors (see below), whose sum is σ = 1079488566000000. Its totient is φ = 76886649984000.

The previous prime is 317157431216981. The next prime is 317157431217031. The reversal of 317157431217000 is 712134751713.

It is a super-2 number, since 2×3171574312170002 (a number of 30 digits) contains 22 as substring.

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, 4805382625 + ... + 4805448624.

It is an arithmetic number, because the mean of its divisors is an integer number (8433504421875).

Almost surely, 2317157431217000 is an apocalyptic number.

317157431217000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

317157431217000 is an abundant number, since it is smaller than the sum of its proper divisors (762331134783000).

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

317157431217000 is a wasteful number, since it uses less digits than its factorization.

317157431217000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9610831284 (or 9610831270 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

Adding to 317157431217000 its reverse (712134751713), we get a palindrome (317869565968713).

The spelling of 317157431217000 in words is "three hundred seventeen trillion, one hundred fifty-seven billion, four hundred thirty-one million, two hundred seventeen thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 9610831249 19221662498 28832493747 38443324996 48054156245 57664987494 76886649992 96108312490 105719143739 115329974988 144162468735 192216624980 211438287478 230659949976 240270781225 288324937470 317157431217 384433249960 422876574956 480541562450 528595718695 576649874940 634314862434 720812343675 845753149912 961083124900 1057191437390 1153299749880 1201353906125 1268629724868 1441624687350 1585787156085 1922166249800 2114382874780 2402707812250 2537259449736 2642978593475 2883249374700 3171574312170 3604061718375 4228765749560 4805415624500 5285957186950 5766498749400 6343148624340 7208123436750 7928935780425 9610831249000 10571914373900 12686297248680 13214892967375 14416246873500 15857871560850 21143828747800 26429785934750 28832493747000 31715743121700 39644678902125 52859571869500 63431486243400 79289357804250 105719143739000 158578715608500 317157431217000