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131110313110320 = 243519127226395761
BaseRepresentation
bin11101110011111001111111…
…101000111010101100110000
3122012020000122011000100020110
4131303321333220322230300
5114141102410124012240
61142503125113141320
736421256532343155
oct3563717750725460
9565200564010213
10131110313110320
1138859631791695
12128560826ba840
135820859b88bab
142453ab721222c
151025730655c80
hex773e7fa3ab30

131110313110320 has 160 divisors (see below), whose sum is σ = 431202424135680. Its totient is φ = 32861797355520.

The previous prime is 131110313110319. The next prime is 131110313110349. The reversal of 131110313110320 is 23011313011131.

It is a super-2 number, since 2×1311103131103202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112618761 + ... + 113777000.

It is an arithmetic number, because the mean of its divisors is an integer number (2695015150848).

Almost surely, 2131110313110320 is an apocalyptic number.

131110313110320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131110313110320 is an abundant number, since it is smaller than the sum of its proper divisors (300092111025360).

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

131110313110320 is a wasteful number, since it uses less digits than its factorization.

131110313110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226395923 (or 226395917 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 131110313110320 its reverse (23011313011131), we get a palindrome (154121626121451).

The spelling of 131110313110320 in words is "one hundred thirty-one trillion, one hundred ten billion, three hundred thirteen million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 127 152 190 228 240 254 285 304 380 381 456 508 570 635 760 762 912 1016 1140 1270 1520 1524 1905 2032 2280 2413 2540 3048 3810 4560 4826 5080 6096 7239 7620 9652 10160 12065 14478 15240 19304 24130 28956 30480 36195 38608 48260 57912 72390 96520 115824 144780 193040 289560 579120 226395761 452791522 679187283 905583044 1131978805 1358374566 1811166088 2263957610 2716749132 3395936415 3622332176 4301519459 4527915220 5433498264 6791872830 8603038918 9055830440 10866996528 12904558377 13583745660 17206077836 18111660880 21507597295 25809116754 27167491320 28752261647 34412155672 43015194590 51618233508 54334982640 57504523294 64522791885 68824311344 86030389180 86256784941 103236467016 115009046588 129045583770 143761308235 172060778360 172513569882 206472934032 230018093176 258091167540 287522616470 344121556720 345027139764 431283924705 460036186352 516182335080 546292971293 575045232940 690054279528 862567849410 1032364670160 1092585942586 1150090465880 1380108559056 1638878913879 1725135698820 2185171885172 2300180931760 2731464856465 3277757827758 3450271397640 4370343770344 5462929712930 6555515655516 6900542795280 8194394569395 8740687540688 10925859425860 13111031311032 16388789138790 21851718851720 26222062622064 32777578277580 43703437703440 65555156555160 131110313110320