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11241105104115 = 32529359208311519
BaseRepresentation
bin1010001110010100011000…
…0100111001110011110011
31110210122020221110000011100
42203211012010321303303
52433133240401312430
635524031542415443
72240100030563115
oct243450604716363
943718227400140
1011241105104115
11364436485a237
121316727431583
13637054742733
142ac1028d13b5
15147618658960
hexa3946139cf3

11241105104115 has 96 divisors (see below), whose sum is σ = 20224069632000. Its totient is φ = 5769126994176.

The previous prime is 11241105104069. The next prime is 11241105104129. The reversal of 11241105104115 is 51140150114211.

11241105104115 is a `hidden beast` number, since 1 + 1 + 24 + 1 + 10 + 510 + 4 + 115 = 666.

11241105104115 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11241105104115 - 213 = 11241105095923 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 975869326 + ... + 975880844.

It is an arithmetic number, because the mean of its divisors is an integer number (210667392000).

Almost surely, 211241105104115 is an apocalyptic number.

11241105104115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11241105104115 is a deficient number, since it is larger than the sum of its proper divisors (8982964527885).

11241105104115 is a wasteful number, since it uses less digits than its factorization.

11241105104115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14001 (or 13998 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 27.

Adding to 11241105104115 its reverse (51140150114211), we get a palindrome (62381255218326).

The spelling of 11241105104115 in words is "eleven trillion, two hundred forty-one billion, one hundred five million, one hundred four thousand, one hundred fifteen".

Divisors: 1 3 5 9 15 29 45 87 145 261 359 435 1077 1305 1795 2083 3231 5385 6249 10411 10415 11519 16155 18747 31233 31245 34557 52055 57595 60407 93699 93735 103671 156165 172785 181221 302035 334051 468495 518355 543663 747797 906105 1002153 1670255 2243391 2718315 3006459 3738985 4135321 5010765 6730173 11216955 12405963 15032295 20676605 21686113 23994077 33650865 37217889 62029815 65058339 71982231 108430565 119924309 119970385 186089445 195175017 215946693 325291695 359772927 359911155 599621545 695828233 975875085 1079318781 1079733465 1798864635 2087484699 3479141165 5396593905 6262454097 8613873643 10437423495 25841620929 31312270485 43069368215 77524862787 129208104645 249802335647 387624313935 749407006941 1249011678235 2248221020823 3747035034705 11241105104115