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131630514621540 = 223511219939097303
BaseRepresentation
bin11101111011011110011110…
…000100001100110001100100
3122021001202100212221011011020
4131323132132010030301210
5114223113243220342130
61143542120145011140
736503663601256644
oct3573363604146144
9567052325834136
10131630514621540
1138a3a2079a3500
121291aa61023ab0
13585a9203776ac
142470d453b4524
151034029a5be10
hex77b79e10cc64

131630514621540 has 144 divisors (see below), whose sum is σ = 405320700188544. Its totient is φ = 31894413027840.

The previous prime is 131630514621533. The next prime is 131630514621547. The reversal of 131630514621540 is 45126415036131.

131630514621540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131630514621533) and next prime (131630514621547).

It is a junction number, because it is equal to n+sod(n) for n = 131630514621492 and 131630514621501.

It is not an unprimeable number, because it can be changed into a prime (131630514621547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9920529 + ... + 19017831.

Almost surely, 2131630514621540 is an apocalyptic number.

131630514621540 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 131630514621540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202660350094272).

131630514621540 is an abundant number, since it is smaller than the sum of its proper divisors (273690185567004).

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

131630514621540 is a wasteful number, since it uses less digits than its factorization.

131630514621540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9099330 (or 9099317 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

Adding to 131630514621540 its reverse (45126415036131), we get a palindrome (176756929657671).

The spelling of 131630514621540 in words is "one hundred thirty-one trillion, six hundred thirty billion, five hundred fourteen million, six hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 1993 2420 3630 3986 5979 7260 7972 9965 11958 19930 21923 23916 29895 39860 43846 59790 65769 87692 109615 119580 131538 219230 241153 263076 328845 438460 482306 657690 723459 964612 1205765 1315380 1446918 2411530 2893836 3617295 4823060 7234590 9097303 14469180 18194606 27291909 36389212 45486515 54583818 90973030 100070333 109167636 136459545 181946060 200140666 272919090 300210999 400281332 500351665 545838180 600421998 1000703330 1100773663 1200843996 1501054995 2001406660 2201547326 3002109990 3302320989 4403094652 5503868315 6004219980 6604641978 11007736630 13209283956 16511604945 18130924879 22015473260 33023209890 36261849758 54392774637 66046419780 72523699516 90654624395 108785549274 181309248790 199440173669 217571098548 271963873185 362618497580 398880347338 543927746370 598320521007 797760694676 997200868345 1087855492740 1196641042014 1994401736690 2193841910359 2393282084028 2991602605035 3988803473380 4387683820718 5983205210070 6581525731077 8775367641436 10969209551795 11966410420140 13163051462154 21938419103590 26326102924308 32907628655385 43876838207180 65815257310770 131630514621540