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42150105 = 3354353137
BaseRepresentation
bin1010000011001…
…0100011011001
32221022110002000
42200302203121
541242300410
64103231213
71021161414
oct240624331
987273060
1042150105
1121879aa8
1212148509
13896a3ba
145852b7b
153a78dc0
hex28328d9

42150105 has 64 divisors (see below), whose sum is σ = 78693120. Its totient is φ = 21385728.

The previous prime is 42150047. The next prime is 42150149. The reversal of 42150105 is 50105124.

It is not a de Polignac number, because 42150105 - 27 = 42149977 is a prime.

It is a super-2 number, since 2×421501052 = 3553262703022050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307597 + ... + 307733.

It is an arithmetic number, because the mean of its divisors is an integer number (1229580).

Almost surely, 242150105 is an apocalyptic number.

42150105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42150105 is a deficient number, since it is larger than the sum of its proper divisors (36543015).

42150105 is a wasteful number, since it uses less digits than its factorization.

42150105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 42150105 is about 6492.3112217453. The cubic root of 42150105 is about 348.0162745064.

Adding to 42150105 its reverse (50105124), we get a palindrome (92255229).

The spelling of 42150105 in words is "forty-two million, one hundred fifty thousand, one hundred five".

Divisors: 1 3 5 9 15 27 43 45 53 129 135 137 159 215 265 387 411 477 645 685 795 1161 1233 1431 1935 2055 2279 2385 3699 5805 5891 6165 6837 7155 7261 11395 17673 18495 20511 21783 29455 34185 36305 53019 61533 65349 88365 102555 108915 159057 196047 265095 307665 312223 326745 795285 936669 980235 1561115 2810007 4683345 8430021 14050035 42150105