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131310300301011 = 3513433892485027
BaseRepresentation
bin11101110110110100001111…
…110011100000011011010011
3122012221010211121012020200000
4131312310033303200123103
5114202341443334113021
61143135041424501043
736441566436410226
oct3566641763403323
9565833747166600
10131310300301011
11389264272a3a87
1212888995a7a783
13583667b6418a0
14245d64971b5bd
15102aa378e9b26
hex776d0fce06d3

131310300301011 has 96 divisors (see below), whose sum is σ = 217309138126080. Its totient is φ = 78724192305024.

The previous prime is 131310300301001. The next prime is 131310300301013. The reversal of 131310300301011 is 110103003013131.

131310300301011 is a `hidden beast` number, since 1 + 3 + 1 + 310 + 300 + 30 + 10 + 11 = 666.

It is not a de Polignac number, because 131310300301011 - 25 = 131310300300979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131310300301013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51598080 + ... + 54083106.

It is an arithmetic number, because the mean of its divisors is an integer number (2263636855480).

Almost surely, 2131310300301011 is an apocalyptic number.

131310300301011 is a deficient number, since it is larger than the sum of its proper divisors (85998837825069).

131310300301011 is a wasteful number, since it uses less digits than its factorization.

131310300301011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485487 (or 2485475 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 131310300301011 its reverse (110103003013131), we get a palindrome (241413303314142).

The spelling of 131310300301011 in words is "one hundred thirty-one trillion, three hundred ten billion, three hundred million, three hundred one thousand, eleven".

Divisors: 1 3 9 13 27 39 43 81 117 129 243 351 387 389 559 1053 1161 1167 1677 3159 3483 3501 5031 5057 10449 10503 15093 15171 16727 31509 45279 45513 50181 94527 135837 136539 150543 217451 409617 451629 652353 1228851 1354887 1957059 2485027 4064661 5871177 7455081 17613531 22365243 32305351 52840593 67095729 96916053 106856161 201287187 290748159 320568483 603861561 872244477 961705449 966675503 1389130093 2616733431 2885116347 2900026509 4167390279 7850200293 8655349041 8700079527 12502170837 12566781539 25966047123 26100238581 37506512511 37700344617 41567046629 78300715743 112519537533 113101033851 124701139887 234902147229 337558612599 339303101553 374103419661 540371606177 1017909304659 1122310258983 1621114818531 3053727913977 3366930776949 4863344455593 10100792330847 14590033366779 43770100100337 131310300301011