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131120304222204 = 2232111636967291569
BaseRepresentation
bin11101110100000011010011…
…001001111110111111111100
3122012020222102110001102011100
4131310003103021332333330
5114141233340340102304
61142511500341253100
736422062241366223
oct3564032311767774
9565228373042140
10131120304222204
1138862899485950
1212857bb0704190
13582178ca8390b
1424543840ddcba
151025b1785a439
hex7740d327effc

131120304222204 has 144 divisors (see below), whose sum is σ = 363845883098880. Its totient is φ = 39483858654720.

The previous prime is 131120304222199. The next prime is 131120304222253. The reversal of 131120304222204 is 402222403021131.

131120304222204 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 0 + 30 + 422 + 2 + 204 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 449560132 + ... + 449851700.

It is an arithmetic number, because the mean of its divisors is an integer number (2526707521520).

Almost surely, 2131120304222204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131120304222204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181922941549440).

131120304222204 is an abundant number, since it is smaller than the sum of its proper divisors (232725578876676).

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

131120304222204 is a wasteful number, since it uses less digits than its factorization.

131120304222204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298720 (or 298715 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 131120304222204 its reverse (402222403021131), we get a palindrome (533342707243335).

The spelling of 131120304222204 in words is "one hundred thirty-one trillion, one hundred twenty billion, three hundred four million, two hundred twenty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 163 198 326 396 489 652 978 1467 1793 1956 2934 3586 5379 5868 6967 7172 10758 13934 16137 20901 21516 27868 32274 41802 62703 64548 76637 83604 125406 153274 229911 250812 291569 306548 459822 583138 689733 874707 919644 1135621 1166276 1379466 1749414 2271242 2624121 2758932 3207259 3406863 3498828 4542484 5248242 6414518 6813726 9621777 10220589 10496484 12491831 12829036 13627452 19243554 20441178 24983662 28865331 37475493 38487108 40882356 47525747 49967324 57730662 74950986 95051494 112426479 115461324 142577241 149901972 190102988 224852958 285154482 427731723 449705916 522783217 570308964 855463446 1045566434 1568349651 1710926892 2031361223 2091132868 3136699302 4062722446 4705048953 6094083669 6273398604 8125444892 9410097906 12188167338 18282251007 18820195812 22344973453 24376334676 36564502014 44689946906 67034920359 73129004028 89379893812 134069840718 201104761077 268139681436 331111879349 402209522154 662223758698 804419044308 993335638047 1324447517396 1986671276094 2980006914141 3642230672839 3973342552188 5960013828282 7284461345678 10926692018517 11920027656564 14568922691356 21853384037034 32780076055551 43706768074068 65560152111102 131120304222204