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113224141305 = 3451123174531
BaseRepresentation
bin110100101110010101…
…1110100100111111001
3101211020210012022210000
41221130223310213321
53323340340010210
6124003042143213
711115541215222
oct1513453644771
9354223168700
10113224141305
1144022092200
1219b3a651b09
13a8a546bb22
1456a1494249
152e2a1b3ac0
hex1a5caf49f9

113224141305 has 120 divisors (see below), whose sum is σ = 230293147392. Its totient is φ = 53124984000.

The previous prime is 113224141297. The next prime is 113224141313. The reversal of 113224141305 is 503141422311.

113224141305 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 241 + 413 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (113224141297) and next prime (113224141313).

It is not a de Polignac number, because 113224141305 - 23 = 113224141297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1481890 + ... + 1556420.

Almost surely, 2113224141305 is an apocalyptic number.

113224141305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113224141305 is an abundant number, since it is smaller than the sum of its proper divisors (117069006087).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113224141305 is a wasteful number, since it uses less digits than its factorization.

113224141305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74601 (or 74581 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 113224141305 its reverse (503141422311), we get a palindrome (616365563616).

The spelling of 113224141305 in words is "one hundred thirteen billion, two hundred twenty-four million, one hundred forty-one thousand, three hundred five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 81 93 99 121 135 155 165 279 297 341 363 405 465 495 605 837 891 1023 1089 1395 1485 1705 1815 2511 3069 3267 3751 4185 4455 5115 5445 9207 9801 11253 12555 15345 16335 18755 27621 33759 46035 49005 56265 74531 101277 138105 168795 223593 303831 372655 506385 670779 819841 1117965 1519155 2012337 2310461 2459523 3353895 4099205 6037011 6931383 7378569 9018251 10061685 11552305 12297615 20794149 22135707 25415071 27054753 30185055 34656915 36892845 45091255 62382447 66407121 76245213 81164259 103970745 110678535 127075355 135273765 187147341 228735639 243492777 279565781 311912235 332035605 381226065 405821295 686206917 730478331 838697343 935736705 1143678195 1217463885 1397828905 2058620751 2516092029 3431034585 3652391655 4193486715 7548276087 10293103755 12580460145 22644828261 37741380435 113224141305