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131322333121320 = 233511823120882887
BaseRepresentation
bin11101110110111111011101…
…000001000100101100101000
3122012222021220012001212000110
4131312333131001010230220
5114203041114234340240
61143144351425534320
736442503556610055
oct3566773501045450
9565867805055013
10131322333121320
1138930541531a80
121288b1937a43a0
135837848527cc3
14246006b84002c
15102aedde9ec80
hex776fdd044b28

131322333121320 has 128 divisors (see below), whose sum is σ = 430304398755840. Its totient is φ = 31797034333440.

The previous prime is 131322333121279. The next prime is 131322333121333. The reversal of 131322333121320 is 23121333223131.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 59355084 + ... + 61527803.

It is an arithmetic number, because the mean of its divisors is an integer number (3361753115280).

Almost surely, 2131322333121320 is an apocalyptic number.

131322333121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131322333121320 is an abundant number, since it is smaller than the sum of its proper divisors (298982065634520).

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

131322333121320 is a wasteful number, since it uses less digits than its factorization.

131322333121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120883735 (or 120883731 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 131322333121320 its reverse (23121333223131), we get a palindrome (154443666344451).

The spelling of 131322333121320 in words is "one hundred thirty-one trillion, three hundred twenty-two billion, three hundred thirty-three million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 823 1320 1646 2469 3292 4115 4938 6584 8230 9053 9876 12345 16460 18106 19752 24690 27159 32920 36212 45265 49380 54318 72424 90530 98760 108636 135795 181060 217272 271590 362120 543180 1086360 120882887 241765774 362648661 483531548 604414435 725297322 967063096 1208828870 1329711757 1450594644 1813243305 2417657740 2659423514 2901189288 3626486610 3989135271 4835315480 5318847028 6648558785 7252973220 7978270542 10637694056 13297117570 14505946440 15956541084 19945676355 26594235140 31913082168 39891352710 53188470280 79782705420 99486616001 159565410840 198973232002 298459848003 397946464004 497433080005 596919696006 795892928008 994866160010 1094352776011 1193839392012 1492299240015 1989732320020 2188705552022 2387678784024 2984598480030 3283058328033 3979464640040 4377411104044 5471763880055 5969196960060 6566116656066 8754822208088 10943527760110 11938393920120 13132233312132 16415291640165 21887055520220 26264466624264 32830583280330 43774111040440 65661166560660 131322333121320