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10001312222320 = 2452359257358471
BaseRepresentation
bin1001000110001001110010…
…1010011000110001110000
31022102010010122102001110001
42101202130222120301300
52302330141412103240
633134312302315344
72051366561141326
oct221423452306160
938363118361401
1010001312222320
11320659501a081
1211563a3288b54
13577172c82733
142680cd511d16
1512525524989a
hex9189ca98c70

10001312222320 has 160 divisors (see below), whose sum is σ = 24771390243840. Its totient is φ = 3747084042240.

The previous prime is 10001312222287. The next prime is 10001312222383. The reversal of 10001312222320 is 2322221310001.

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, 27720685 + ... + 28079155.

It is an arithmetic number, because the mean of its divisors is an integer number (154821189024).

Almost surely, 210001312222320 is an apocalyptic number.

10001312222320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001312222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12385695121920).

10001312222320 is an abundant number, since it is smaller than the sum of its proper divisors (14770078021520).

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

10001312222320 is a wasteful number, since it uses less digits than its factorization.

10001312222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358823 (or 358817 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10001312222320 its reverse (2322221310001), we get a palindrome (12323533532321).

The spelling of 10001312222320 in words is "ten trillion, one billion, three hundred twelve million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 59 80 92 115 118 184 230 236 257 295 368 460 472 514 590 920 944 1028 1180 1285 1357 1840 2056 2360 2570 2714 4112 4720 5140 5428 5911 6785 10280 10856 11822 13570 15163 20560 21712 23644 27140 29555 30326 47288 54280 59110 60652 75815 94576 108560 118220 121304 151630 236440 242608 303260 348749 358471 472880 606520 697498 716942 1213040 1394996 1433884 1743745 1792355 2789992 2867768 3487490 3584710 5579984 5735536 6974980 7169420 8244833 13949960 14338840 16489666 21149789 27899920 28677680 32979332 41224165 42299578 65958664 82448330 84599156 92127047 105748945 131917328 164896660 169198312 184254094 211497890 329793320 338396624 368508188 422995780 460635235 486445147 659586640 737016376 845991560 921270470 972890294 1474032752 1691983120 1842540940 1945780588 2118922081 2432225735 3685081880 3891561176 4237844162 4864451470 5435495773 7370163760 7783122352 8475688324 9728902940 10594610405 10870991546 16951376648 19457805880 21189220810 21741983092 27177478865 33902753296 38915611760 42378441620 43483966184 54354957730 84756883240 86967932368 108709915460 125016402779 169513766480 217419830920 250032805558 434839661840 500065611116 625082013895 1000131222232 1250164027790 2000262444464 2500328055580 5000656111160 10001312222320