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42021331 = 11171911827
BaseRepresentation
bin1010000001001…
…1000111010011
32221001220102121
42200103013103
541224140311
64100355111
71020114112
oct240230723
987056377
1042021331
11217a1280
12120a5a97
1389238c1
14581bc79
153a50b71
hex28131d3

42021331 has 16 divisors (see below), whose sum is σ = 51096960. Its totient is φ = 34058880.

The previous prime is 42021313. The next prime is 42021341. The reversal of 42021331 is 13312024.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 42021331 - 29 = 42020819 is a prime.

It is a super-2 number, since 2×420213312 = 3531584518023122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42021341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2361 + ... + 9466.

It is an arithmetic number, because the mean of its divisors is an integer number (3193560).

Almost surely, 242021331 is an apocalyptic number.

42021331 is a deficient number, since it is larger than the sum of its proper divisors (9075629).

42021331 is a wasteful number, since it uses less digits than its factorization.

42021331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11874.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 42021331 is about 6482.3862118822. The cubic root of 42021331 is about 347.6615014531.

Adding to 42021331 its reverse (13312024), we get a palindrome (55333355).

The spelling of 42021331 in words is "forty-two million, twenty-one thousand, three hundred thirty-one".

Divisors: 1 11 17 19 187 209 323 3553 11827 130097 201059 224713 2211649 2471843 3820121 42021331