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113542110530541 = 33711195695051689
BaseRepresentation
bin11001110100010000010101…
…001010100100101111101101
3112220000112000220102100221000
4121310100111022210233231
5104340233220243434131
61041252305301230513
732626101226330350
oct3164202512445755
9486015026370830
10113542110530541
11331a5a363a3220
121089927b102439
134b47c8a338704
142007678a56297
15d1d7569b8ce6
hex6744152a4bed

113542110530541 has 128 divisors (see below), whose sum is σ = 221142781440000. Its totient is φ = 55780334760960.

The previous prime is 113542110530473. The next prime is 113542110530549. The reversal of 113542110530541 is 145035011245311.

113542110530541 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 4 + 2 + 1 + 105 + 3 + 0 + 541 = 666.

It is not a de Polignac number, because 113542110530541 - 218 = 113542110268397 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113542110530496 and 113542110530505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113542110530549) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 19950225 + ... + 25001913.

It is an arithmetic number, because the mean of its divisors is an integer number (1727677980000).

Almost surely, 2113542110530541 is an apocalyptic number.

113542110530541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113542110530541 is a deficient number, since it is larger than the sum of its proper divisors (107600670909459).

113542110530541 is a wasteful number, since it uses less digits than its factorization.

113542110530541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052304 (or 5052298 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 113542110530541 its reverse (145035011245311), we get a palindrome (258577121775852).

The spelling of 113542110530541 in words is "one hundred thirteen trillion, five hundred forty-two billion, one hundred ten million, five hundred thirty thousand, five hundred forty-one".

Divisors: 1 3 7 9 11 19 21 27 33 57 63 77 99 133 171 189 209 231 297 399 513 569 627 693 1197 1463 1707 1881 2079 3591 3983 4389 5121 5643 6259 10811 11949 13167 15363 18777 32433 35847 39501 43813 56331 75677 97299 107541 118921 131439 168993 227031 291897 356763 394317 681093 832447 1070289 1182951 2043279 2497341 3210867 5051689 7492023 15155067 22476069 35361823 45465201 55568579 95982091 106085469 136395603 166705737 287946273 318256407 388980053 500117211 671874637 863838819 954769221 1055803001 1166940159 1500351633 2015623911 2591516457 2874411041 3167409003 3500820477 6046871733 7390621007 8623233123 9502227009 10502461431 18140615199 20120877287 22171863021 25869699369 28506681027 31618521451 54613809779 60362631861 66515589063 77609098107 94855564353 163841429337 181087895583 199546767189 221329650157 284566693059 382296668453 491524288011 543263686749 600751907569 663988950471 853700079177 1146890005359 1474572864033 1802255722707 1991966851413 3440670016077 4205263352983 5406767168121 5975900554239 10322010048231 12615790058949 16220301504363 37847370176847 113542110530541