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130411434010011 = 372114115113027013
BaseRepresentation
bin11101101001101111000111…
…001100101110010110011011
3122002202012201001200112210220
4131221233013030232112123
5114043130104101310021
61141210104040411123
736316625623116600
oct3551570714562633
9562665631615726
10130411434010011
113860a1a6752580
1212762739476aa3
13579c98ca0970b
14242bd38b2a6a7
151012479bb1cc6
hex769bc732e59b

130411434010011 has 96 divisors (see below), whose sum is σ = 227537955380736. Its totient is φ = 65656140480000.

The previous prime is 130411434010009. The next prime is 130411434010087. The reversal of 130411434010011 is 110010434114031.

It is not a de Polignac number, because 130411434010011 - 21 = 130411434010009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130411534010011) 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, 3497341 + ... + 16524353.

It is an arithmetic number, because the mean of its divisors is an integer number (2370187035216).

Almost surely, 2130411434010011 is an apocalyptic number.

130411434010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130411434010011 is a deficient number, since it is larger than the sum of its proper divisors (97126521370725).

130411434010011 is a wasteful number, since it uses less digits than its factorization.

130411434010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13027233 (or 13027226 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 130411434010011 its reverse (110010434114031), we get a palindrome (240421868124042).

The spelling of 130411434010011 in words is "one hundred thirty trillion, four hundred eleven billion, four hundred thirty-four million, ten thousand, eleven".

Divisors: 1 3 7 11 21 33 41 49 77 123 147 151 231 287 451 453 539 861 1057 1353 1617 1661 2009 3157 3171 4983 6027 6191 7399 9471 11627 18573 22099 22197 34881 43337 66297 68101 81389 130011 204303 244167 303359 476707 910077 1430121 3336949 10010847 13027013 39081039 91189091 143297143 273567273 429891429 534107533 638323637 1003080001 1602322599 1914970911 1967078963 3009240003 3738752731 5875182863 5901236889 7021560007 11216258193 13769552741 17625548589 21064680021 21637868593 26171269117 41126280041 41308658223 64913605779 78513807351 80650237483 96386869187 123378840123 151465080151 241950712449 287883960287 289160607561 454395240453 564551662381 863651880861 887152612313 1060255561057 1693654987143 2661457836939 3180766683171 3951861636667 6210068286191 11855584910001 18630204858573 43470478003337 130411434010011