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305313011041012 = 22133709239320477
BaseRepresentation
bin100010101101011100011100…
…1100100011000001011110100
31111001000122020200120002220021
41011122320321210120023310
5310004222021311303022
63001202505545414524
7121211065014256012
oct10532707144301364
91431018220502807
10305313011041012
1189311580269a37
122a2ab85979a444
1310148b7ca64000
14555732b3218b2
152546d5ab227c7
hex115ae399182f4

305313011041012 has 96 divisors (see below), whose sum is σ = 579889213495200. Its totient is φ = 140649275759616.

The previous prime is 305313011041009. The next prime is 305313011041097. The reversal of 305313011041012 is 210140110313503.

It can be written as a sum of positive squares in 16 ways, for example, as 296184237680016 + 9128773360996 = 17210004^2 + 3021386^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14910035718 + ... + 14910056194.

It is an arithmetic number, because the mean of its divisors is an integer number (6040512640575).

Almost surely, 2305313011041012 is an apocalyptic number.

It is an amenable number.

305313011041012 is a deficient number, since it is larger than the sum of its proper divisors (274576202454188).

305313011041012 is a wasteful number, since it uses less digits than its factorization.

305313011041012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23622 (or 23594 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 305313011041012 its reverse (210140110313503), we get a palindrome (515453121354515).

The spelling of 305313011041012 in words is "three hundred five trillion, three hundred thirteen billion, eleven million, forty-one thousand, twelve".

Divisors: 1 2 4 13 26 52 169 338 676 709 1418 2197 2393 2836 4394 4786 8788 9217 9572 18434 20477 31109 36868 40954 62218 81908 119821 124436 239642 266201 404417 479284 532402 808834 1064804 1557673 1617668 1696637 3115346 3393274 3460613 5257421 6230692 6786548 6921226 10514842 13842452 14518193 21029684 22056281 29036386 44112562 44987969 49001461 58072772 88225124 89975938 98002922 179951876 188736509 196005844 286731653 377473018 573463306 637018993 754946036 1146926612 1274037986 2453574617 2548075972 3727511489 4907149234 7455022978 8281246909 9814298468 14910045956 16562493818 31896470021 33124987636 34742035849 63792940042 69484071698 107656209817 127585880084 138968143396 215312419634 430624839268 451646466037 903292932074 1806585864148 5871404058481 11742808116962 23485616233924 76328252760253 152656505520506 305313011041012