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300132105 = 357213101311
BaseRepresentation
bin10001111000111…
…010011100001001
3202220202021211220
4101320322130021
51103313211410
645440512253
710303036500
oct2170723411
9686667756
10300132105
11144464769
128461b689
134a245c80
142bc09837
151b538070
hex11e3a709

300132105 has 96 divisors (see below), whose sum is σ = 609493248. Its totient is φ = 124992000.

The previous prime is 300132101. The next prime is 300132121. The reversal of 300132105 is 501231003.

It is a happy number.

It is not a de Polignac number, because 300132105 - 22 = 300132101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (300132101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 964900 + ... + 965210.

It is an arithmetic number, because the mean of its divisors is an integer number (6348888).

Almost surely, 2300132105 is an apocalyptic number.

300132105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

300132105 is an abundant number, since it is smaller than the sum of its proper divisors (309361143).

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

300132105 is a wasteful number, since it uses less digits than its factorization.

300132105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 300132105 is about 17324.3211988233. The cubic root of 300132105 is about 669.5311972624.

Adding to 300132105 its reverse (501231003), we get a palindrome (801363108).

The spelling of 300132105 in words is "three hundred million, one hundred thirty-two thousand, one hundred five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 101 105 147 195 245 273 303 311 455 505 637 707 735 933 1313 1365 1515 1555 1911 2121 2177 3185 3535 3939 4043 4665 4949 6531 6565 9191 9555 10605 10885 12129 14847 15239 19695 20215 24745 27573 28301 31411 32655 45717 45955 60645 64337 74235 76195 84903 94233 137865 141505 157055 193011 198107 219877 228585 321685 408343 424515 471165 594321 659631 965055 990535 1099385 1225029 1539139 2041715 2858401 2971605 3298155 4617417 6125145 7695695 8575203 14292005 20008807 23087085 42876015 60026421 100044035 300132105