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42131145 = 3573071307
BaseRepresentation
bin1010000010110…
…1111011001001
32221021111001210
42200231323021
541241144040
64103003333
71021052220
oct240557311
987244053
1042131145
1121866831
1212139549
138961894
145849cb7
153a73480
hex282dec9

42131145 has 32 divisors (see below), whose sum is σ = 77349888. Its totient is φ = 19182528.

The previous prime is 42131119. The next prime is 42131153. The reversal of 42131145 is 54113124.

42131145 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 42131145 - 26 = 42131081 is a prime.

It is a super-2 number, since 2×421311452 = 3550066758022050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 31582 + ... + 32888.

It is an arithmetic number, because the mean of its divisors is an integer number (2417184).

Almost surely, 242131145 is an apocalyptic number.

It is an amenable number.

42131145 is a deficient number, since it is larger than the sum of its proper divisors (35218743).

42131145 is a wasteful number, since it uses less digits than its factorization.

42131145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629.

The product of its digits is 480, while the sum is 21.

The square root of 42131145 is about 6490.8508687228. The cubic root of 42131145 is about 347.9640850107.

Adding to 42131145 its reverse (54113124), we get a palindrome (96244269).

The spelling of 42131145 in words is "forty-two million, one hundred thirty-one thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 21 35 105 307 921 1307 1535 2149 3921 4605 6447 6535 9149 10745 19605 27447 32235 45745 137235 401249 1203747 2006245 2808743 6018735 8426229 14043715 42131145