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42130971 = 3219124509
BaseRepresentation
bin1010000010110…
…1111000011011
32221021110211100
42200231320123
541241142341
64103002443
71021051551
oct240557033
987243740
1042130971
1121866693
1212139423
13896178c
145849bd1
153a733b6
hex282de1b

42130971 has 12 divisors (see below), whose sum is σ = 61176960. Its totient is φ = 27939120.

The previous prime is 42130951. The next prime is 42130993. The reversal of 42130971 is 17903124.

42130971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42130971 - 213 = 42122779 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42130951) 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 11 ways as a sum of consecutive naturals, for example, 10536 + ... + 13973.

It is an arithmetic number, because the mean of its divisors is an integer number (5098080).

Almost surely, 242130971 is an apocalyptic number.

42130971 is a deficient number, since it is larger than the sum of its proper divisors (19045989).

42130971 is a wasteful number, since it uses less digits than its factorization.

42130971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24706 (or 24703 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 42130971 is about 6490.8374652274. The cubic root of 42130971 is about 347.9636059840.

The spelling of 42130971 in words is "forty-two million, one hundred thirty thousand, nine hundred seventy-one".

Divisors: 1 3 9 191 573 1719 24509 73527 220581 4681219 14043657 42130971