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331020240000 = 273541379251
BaseRepresentation
bin1001101000100100101…
…10000000010010000000
31011122102100222111021220
410310102112000102000
520410412140140000
6412022452315040
732625663421002
oct4642226002200
91148370874256
10331020240000
1111842632878a
12541a2012a80
13252a46995c8
1412042c86372
158925b661a0
hex4d12580480

331020240000 has 160 divisors (see below), whose sum is σ = 1098739728240. Its totient is φ = 88272000000.

The previous prime is 331020239993. The next prime is 331020240011. The reversal of 331020240000 is 42020133.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 449626 + ... + 929625.

Almost surely, 2331020240000 is an apocalyptic number.

331020240000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331020240000 is an abundant number, since it is smaller than the sum of its proper divisors (767719488240).

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

331020240000 is an equidigital number, since it uses as much as digits as its factorization.

331020240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379288 (or 1379261 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 331020240000 its reverse (42020133), we get a palindrome (331062260133).

The spelling of 331020240000 in words is "three hundred thirty-one billion, twenty million, two hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 240000 1379251 2758502 4137753 5517004 6896255 8275506 11034008 13792510 16551012 20688765 22068016 27585020 33102024 34481275 41377530 44136032 55170040 66204048 68962550 82755060 88272064 103443825 110340080 132408096 137925100 165510120 172406375 176544128 206887650 220680160 264816192 275850200 331020240 344812750 413775300 441360320 517219125 529632384 551700400 662040480 689625500 827550600 862031875 882720640 1034438250 1103400800 1324080960 1379251000 1655101200 1724063750 2068876500 2206801600 2586095625 2648161920 2758502000 3310202400 3448127500 4137753000 4413603200 5172191250 5517004000 6620404800 6896255000 8275506000 10344382500 11034008000 13240809600 13792510000 16551012000 20688765000 22068016000 27585020000 33102024000 41377530000 55170040000 66204048000 82755060000 110340080000 165510120000 331020240000