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113505345 = 32517236451
BaseRepresentation
bin1101100001111…
…11010001000001
321220120200001200
412300333101001
5213024132340
615132451413
72545531242
oct660772101
9256520050
10113505345
1159086278
1232019b69
131a691a35
1411108cc9
159e71330
hex6c3f441

113505345 has 48 divisors (see below), whose sum is σ = 217406592. Its totient is φ = 54489600.

The previous prime is 113505331. The next prime is 113505347. The reversal of 113505345 is 543505311.

113505345 is a `hidden beast` number, since 113 + 505 + 3 + 45 = 666.

It is not a de Polignac number, because 113505345 - 28 = 113505089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113505347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14370 + ... + 20820.

It is an arithmetic number, because the mean of its divisors is an integer number (4529304).

Almost surely, 2113505345 is an apocalyptic number.

113505345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113505345 is a deficient number, since it is larger than the sum of its proper divisors (103901247).

113505345 is a wasteful number, since it uses less digits than its factorization.

113505345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6502 (or 6499 counting only the distinct ones).

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

The square root of 113505345 is about 10653.8887266575. Note that the first 3 decimals coincide. The cubic root of 113505345 is about 484.1784298185.

The spelling of 113505345 in words is "one hundred thirteen million, five hundred five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 23 45 51 69 85 115 153 207 255 345 391 765 1035 1173 1955 3519 5865 6451 17595 19353 32255 58059 96765 109667 148373 290295 329001 445119 548335 741865 987003 1335357 1645005 2225595 2522341 4935015 6676785 7567023 12611705 22701069 37835115 113505345