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131210145412200 = 23325298374155163
BaseRepresentation
bin11101110101010110111110…
…000110111011010001101000
3122012120120022122002201220200
4131311112332012323101220
5114144221334211142300
61143021035245552200
736431422502040651
oct3565267606732150
9565516278081820
10131210145412200
1138897a014976a8
12128714a4275660
13582a0a9a10c7a
142458867c9c528
151028124cb7200
hex7755be1bb468

131210145412200 has 144 divisors (see below), whose sum is σ = 441095678917920. Its totient is φ = 34953777160320.

The previous prime is 131210145412189. The next prime is 131210145412271. The reversal of 131210145412200 is 2214541012131.

131210145412200 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 0 + 1 + 45 + 412 + 200 = 666.

It is a super-2 number, since 2×1312101454122002 (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 35 ways as a sum of consecutive naturals, for example, 35308182 + ... + 38846981.

It is an arithmetic number, because the mean of its divisors is an integer number (3063164436930).

Almost surely, 2131210145412200 is an apocalyptic number.

131210145412200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131210145412200 is an abundant number, since it is smaller than the sum of its proper divisors (309885533505720).

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

131210145412200 is a wasteful number, since it uses less digits than its factorization.

131210145412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74156168 (or 74156156 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 131210145412200 its reverse (2214541012131), we get a palindrome (133424686424331).

The spelling of 131210145412200 in words is "one hundred thirty-one trillion, two hundred ten billion, one hundred forty-five million, four hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 983 1800 1966 2949 3932 4915 5898 7864 8847 9830 11796 14745 17694 19660 23592 24575 29490 35388 39320 44235 49150 58980 70776 73725 88470 98300 117960 147450 176940 196600 221175 294900 353880 442350 589800 884700 1769400 74155163 148310326 222465489 296620652 370775815 444930978 593241304 667396467 741551630 889861956 1112327445 1334792934 1483103260 1779723912 1853879075 2224654890 2669585868 2966206520 3336982335 3707758150 4449309780 5339171736 5561637225 6673964670 7415516300 8898619560 11123274450 13347929340 14831032600 16684911675 22246548900 26695858680 33369823350 44493097800 66739646700 72894525229 133479293400 145789050458 218683575687 291578100916 364472626145 437367151374 583156201832 656050727061 728945252290 874734302748 1093417878435 1312101454122 1457890504580 1749468605496 1822363130725 2186835756870 2624202908244 2915781009160 3280253635305 3644726261450 4373671513740 5248405816488 5467089392175 6560507270610 7289452522900 8747343027480 10934178784350 13121014541220 14578905045800 16401268176525 21868357568700 26242029082440 32802536353050 43736715137400 65605072706100 131210145412200