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131323103123220 = 223252334017808513
BaseRepresentation
bin11101110111000000001010…
…111010011001011100010100
3122012222100212211222000001100
4131313000022322121130110
5114203044203344420340
61143145000053430100
736442531626533421
oct3567001272313424
9565870784860040
10131323103123220
11389308a7143888
121288b36963b330
13583793bc06a28
142460101bdad48
15102b03689d830
hex77700ae99714

131323103123220 has 144 divisors (see below), whose sum is σ = 401054087043792. Its totient is φ = 34782235852800.

The previous prime is 131323103123189. The next prime is 131323103123227. The reversal of 131323103123220 is 22321301323131.

131323103123220 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 310 + 3 + 123 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16999491825936 + 114323611297284 = 4123044^2 + 10692222^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131323103123227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12913684 + ... + 20722196.

It is an arithmetic number, because the mean of its divisors is an integer number (2785097826693).

Almost surely, 2131323103123220 is an apocalyptic number.

131323103123220 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 131323103123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200527043521896).

131323103123220 is an abundant number, since it is smaller than the sum of its proper divisors (269730983920572).

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

131323103123220 is a wasteful number, since it uses less digits than its factorization.

131323103123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7809162 (or 7809157 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131323103123220 its reverse (22321301323131), we get a palindrome (153644404446351).

The spelling of 131323103123220 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, one hundred three million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 401 466 699 802 932 1165 1203 1398 1604 2005 2097 2330 2406 2796 3495 3609 4010 4194 4660 4812 6015 6990 7218 8020 8388 10485 12030 13980 14436 18045 20970 24060 36090 41940 72180 93433 186866 280299 373732 467165 560598 840897 934330 1121196 1401495 1681794 1868660 2802990 3363588 4204485 5605980 7808513 8408970 15617026 16817940 23425539 31234052 39042565 46851078 70276617 78085130 93702156 117127695 140553234 156170260 234255390 281106468 351383085 468510780 702766170 1405532340 1819383529 3131213713 3638767058 5458150587 6262427426 7277534116 9096917645 9393641139 10916301174 12524854852 15656068565 16374451761 18193835290 18787282278 21832602348 27290752935 28180923417 31312137130 32748903522 36387670580 37574564556 46968205695 54581505870 56361846834 62624274260 65497807044 81872258805 93936411390 109163011740 112723693668 140904617085 163744517610 187872822780 281809234170 327489035220 563618468340 729572795129 1459145590258 2188718385387 2918291180516 3647863975645 4377436770774 6566155156161 7295727951290 8754873541548 10943591926935 13132310312322 14591455902580 21887183853870 26264620624644 32830775780805 43774367707740 65661551561610 131323103123220