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113203505205 = 33572925716073
BaseRepresentation
bin110100101101101110…
…1000110100000110101
3101211012100100220101000
41221123131012200311
53323320044131310
6124001023553513
711115200626530
oct1513335064065
9354170326330
10113203505205
1144011477a7a
1219b3375b899
13a8a10c500b
14569c841a17
152e284894c0
hex1a5b746835

113203505205 has 128 divisors (see below), whose sum is σ = 238872499200. Its totient is φ = 49768169472.

The previous prime is 113203505197. The next prime is 113203505227. The reversal of 113203505205 is 502505302311.

It is a happy number.

113203505205 is a `hidden beast` number, since 1 + 132 + 0 + 3 + 5 + 0 + 520 + 5 = 666.

It is not a de Polignac number, because 113203505205 - 23 = 113203505197 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7035049 + ... + 7051121.

It is an arithmetic number, because the mean of its divisors is an integer number (1866191400).

Almost surely, 2113203505205 is an apocalyptic number.

113203505205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113203505205 is an abundant number, since it is smaller than the sum of its proper divisors (125668993995).

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

113203505205 is a wasteful number, since it uses less digits than its factorization.

113203505205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16380 (or 16374 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 113203505205 its reverse (502505302311), we get a palindrome (615708807516).

The spelling of 113203505205 in words is "one hundred thirteen billion, two hundred three million, five hundred five thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 63 87 105 135 145 189 203 257 261 315 435 609 771 783 945 1015 1285 1305 1799 1827 2313 3045 3855 3915 5397 5481 6939 7453 8995 9135 11565 16073 16191 22359 26985 27405 34695 37265 48219 48573 52171 67077 80365 80955 111795 112511 144657 156513 201231 241095 242865 260855 335385 337533 433971 466117 469539 562555 723285 782565 1006155 1012599 1398351 1408617 1687665 2169855 2330585 2347695 3037797 3262819 4130761 4195053 5062995 6991755 7043085 9788457 12392283 12585159 15188985 16314095 20653805 20975265 28915327 29365371 37176849 48942285 61961415 62925795 86745981 88096113 111530547 119792069 144576635 146826855 185884245 260237943 359376207 433729905 440480565 557652735 598960345 780713829 838544483 1078128621 1301189715 1796881035 2515633449 3234385863 3903569145 4192722415 5390643105 7546900347 12578167245 16171929315 22640701041 37734501735 113203505205