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31230213303200 = 2552711035338133
BaseRepresentation
bin1110001100111010110011…
…10001010010101110100000
311002120120122021001200211012
413012131121301102232200
513043133434101200300
6150230543435440052
76402210541053302
oct706353161225640
9132516567050735
1031230213303200
119a5072827000a
12360475b2b6028
131456cc5353552
1479d79c3a5972
153925821c4435
hex1c6759c52ba0

31230213303200 has 144 divisors (see below), whose sum is σ = 78065213256576. Its totient is φ = 12196563993600.

The previous prime is 31230213303173. The next prime is 31230213303217. The reversal of 31230213303200 is 230331203213.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3181334 + ... + 8519466.

It is an arithmetic number, because the mean of its divisors is an integer number (542119536504).

Almost surely, 231230213303200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31230213303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39032606628288).

31230213303200 is an abundant number, since it is smaller than the sum of its proper divisors (46834999953376).

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

31230213303200 is a wasteful number, since it uses less digits than its factorization.

31230213303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338327 (or 5338314 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 31230213303200 its reverse (230331203213), we get a palindrome (31460544506413).

The spelling of 31230213303200 in words is "thirty-one trillion, two hundred thirty billion, two hundred thirteen million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 103 142 160 200 206 284 355 400 412 515 568 710 800 824 1030 1136 1420 1648 1775 2060 2272 2575 2840 3296 3550 4120 5150 5680 7100 7313 8240 10300 11360 14200 14626 16480 20600 28400 29252 36565 41200 56800 58504 73130 82400 117008 146260 182825 234016 292520 365650 585040 731300 1170080 1462600 2925200 5338133 5850400 10676266 21352532 26690665 42705064 53381330 85410128 106762660 133453325 170820256 213525320 266906650 379007443 427050640 533813300 549827699 758014886 854101280 1067626600 1099655398 1516029772 1895037215 2135253200 2199310796 2749138495 3032059544 3790074430 4270506400 4398621592 5498276990 6064119088 7580148860 8797243184 9475186075 10996553980 12128238176 13745692475 15160297720 17594486368 18950372150 21993107960 27491384950 30320595440 37900744300 39037766629 43986215920 54982769900 60641190880 75801488600 78075533258 87972431840 109965539800 151602977200 156151066516 195188833145 219931079600 303205954400 312302133032 390377666290 439862159200 624604266064 780755332580 975944165725 1249208532128 1561510665160 1951888331450 3123021330320 3903776662900 6246042660640 7807553325800 15615106651600 31230213303200