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131231000230020 = 223254212439170999
BaseRepresentation
bin11101110101101010011001…
…001001101111100010000100
3122012122120011001010020202200
4131311222121021233202010
5114200042042024330040
61143034404513034500
736433061344053045
oct3565523111574204
9565576131106680
10131231000230020
11388a5833498a29
1212875544555a30
13582c051522a62
1424598858dc8cc
151028945ad7630
hex775a9926f884

131231000230020 has 144 divisors (see below), whose sum is σ = 399034874784000. Its totient is φ = 34909886995200.

The previous prime is 131231000230019. The next prime is 131231000230067. The reversal of 131231000230020 is 20032000132131.

131231000230020 is a `hidden beast` number, since 1 + 31 + 2 + 310 + 0 + 0 + 2 + 300 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131231000229975 and 131231000230002.

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, 1848314481 + ... + 1848385479.

Almost surely, 2131231000230020 is an apocalyptic number.

131231000230020 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 131231000230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199517437392000).

131231000230020 is an abundant number, since it is smaller than the sum of its proper divisors (267803874553980).

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

131231000230020 is a wasteful number, since it uses less digits than its factorization.

131231000230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95826 (or 95821 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131231000230020 its reverse (20032000132131), we get a palindrome (151263000362151).

The spelling of 131231000230020 in words is "one hundred thirty-one trillion, two hundred thirty-one billion, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 421 842 1263 1684 2105 2526 3789 4210 5052 6315 7578 8420 12630 15156 18945 24391 25260 37890 48782 70999 73173 75780 97564 121955 141998 146346 212997 219519 243910 283996 292692 354995 365865 425994 439038 487820 638991 709990 731730 851988 878076 1064985 1097595 1277982 1419980 1463460 2129970 2195190 2555964 3194955 4259940 4390380 6389910 10268611 12779820 20537222 29890579 30805833 41074444 51343055 59781158 61611666 89671737 92417499 102686110 119562316 123223332 149452895 154029165 179343474 184834998 205372220 269015211 298905790 308058330 358686948 369669996 448358685 462087495 538030422 597811580 616116660 896717370 924174990 1076060844 1345076055 1731736609 1793434740 1848349980 2690152110 3463473218 5195209827 5380304220 6926946436 8658683045 10390419654 15585629481 17317366090 20780839308 25976049135 31171258962 34634732180 51952098270 62342517924 77928147405 103904196540 155856294810 311712589620 729061112389 1458122224778 2187183337167 2916244449556 3645305561945 4374366674334 6561550011501 7290611123890 8748733348668 10935916685835 13123100023002 14581222247780 21871833371670 26246200046004 32807750057505 43743666743340 65615500115010 131231000230020