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131130313131300 = 223527109572871617
BaseRepresentation
bin11101110100001100100111…
…101110111100010100100100
3122012021221020222120200021020
4131310030213232330110210
5114141414340130200200
61142520233443051140
736422565254615220
oct3564144756742444
9565257228520236
10131130313131300
113886706522544a
1212859b24670ab0
1358226c6570232
142454a53501780
1510260013c7ea0
hex774327bbc524

131130313131300 has 144 divisors (see below), whose sum is σ = 437582256693120. Its totient is φ = 29697664573440.

The previous prime is 131130313131289. The next prime is 131130313131397. The reversal of 131130313131300 is 3131313031131.

It is a super-2 number, since 2×1311303131313002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286206909 + ... + 286664708.

It is an arithmetic number, because the mean of its divisors is an integer number (3038765671480).

Almost surely, 2131130313131300 is an apocalyptic number.

131130313131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131130313131300 is an abundant number, since it is smaller than the sum of its proper divisors (306451943561820).

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

131130313131300 is a wasteful number, since it uses less digits than its factorization.

131130313131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572871750 (or 572871743 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 131130313131300 its reverse (3131313031131), we get a palindrome (134261626162431).

The spelling of 131130313131300 in words is "one hundred thirty-one trillion, one hundred thirty billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 109 140 150 175 210 218 300 327 350 420 436 525 545 654 700 763 1050 1090 1308 1526 1635 2100 2180 2289 2725 3052 3270 3815 4578 5450 6540 7630 8175 9156 10900 11445 15260 16350 19075 22890 32700 38150 45780 57225 76300 114450 228900 572871617 1145743234 1718614851 2291486468 2864358085 3437229702 4010101319 5728716170 6874459404 8020202638 8593074255 11457432340 12030303957 14321790425 16040405276 17186148510 20050506595 24060607914 28643580850 34372297020 40101013190 42965371275 48121215828 57287161700 60151519785 62443006253 80202026380 85930742550 100252532975 120303039570 124886012506 171861485100 187329018759 200505065950 240606079140 249772025012 300757598925 312215031265 374658037518 401010131900 437101043771 601515197850 624430062530 749316075036 874202087542 936645093795 1203030395700 1248860125060 1311303131313 1561075156325 1748404175084 1873290187590 2185505218855 2622606262626 3122150312650 3746580375180 4371010437710 4683225468975 5245212525252 6244300625300 6556515656565 8742020875420 9366450937950 10927526094275 13113031313130 18732901875900 21855052188550 26226062626260 32782578282825 43710104377100 65565156565650 131130313131300