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131201203224320 = 285613121538399
BaseRepresentation
bin11101110101001110101001…
…000111001011111100000000
3122012112201020102210112012222
4131311032221013023330000
5114144100031011134240
61143013000051510212
736430655060512235
oct3565165107137400
9565481212715188
10131201203224320
11388941328a2589
121286b8095b8368
1358292b3222b38
14245825a41578c
151027c9ec09eb5
hex7753a91cbf00

131201203224320 has 144 divisors (see below), whose sum is σ = 319522753401600. Its totient is φ = 51603510067200.

The previous prime is 131201203224313. The next prime is 131201203224331. The reversal of 131201203224320 is 23422302102131.

It is a self number, because there is not a number n which added to its sum of digits gives 131201203224320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243418481 + ... + 243956879.

Almost surely, 2131201203224320 is an apocalyptic number.

131201203224320 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 131201203224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159761376700800).

131201203224320 is an abundant number, since it is smaller than the sum of its proper divisors (188321550177280).

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

131201203224320 is an equidigital number, since it uses as much as digits as its factorization.

131201203224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541602 (or 541588 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 131201203224320 its reverse (23422302102131), we get a palindrome (154623505326451).

The spelling of 131201203224320 in words is "one hundred thirty-one trillion, two hundred one billion, two hundred three million, two hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 610 640 976 1220 1280 1952 2440 3121 3904 4880 6242 7808 9760 12484 15605 15616 19520 24968 31210 39040 49936 62420 78080 99872 124840 190381 199744 249680 380762 399488 499360 538399 761524 798976 951905 998720 1076798 1523048 1903810 1997440 2153596 2691995 3046096 3807620 3994880 4307192 5383990 6092192 7615240 8614384 10767980 12184384 15230480 17228768 21535960 24368768 30460960 32842339 34457536 43071920 48737536 60921920 65684678 68915072 86143840 121843840 131369356 137830144 164211695 172287680 243687680 262738712 328423390 344575360 525477424 656846780 689150720 1050954848 1313693560 1680343279 2101909696 2627387120 3360686558 4203819392 5254774240 6721373116 8401716395 8407638784 10509548480 13442746232 16803432790 21019096960 26885492464 33606865580 42038193920 53770984928 67213731160 102500940019 107541969856 134427462320 205001880038 215083939712 268854924640 410003760076 430167879424 512504700095 537709849280 820007520152 1025009400190 1075419698560 1640015040304 2050018800380 2150839397120 3280030080608 4100037600760 6560060161216 8200075201520 13120120322432 16400150403040 26240240644864 32800300806080 65600601612160 131201203224320