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42130301 = 172997881
BaseRepresentation
bin1010000010110…
…1101101111101
32221021102220112
42200231231331
541241132201
64102555405
71021046603
oct240555575
987242815
1042130301
1121866134
1212138b65
138961395
145849873
153a730bb
hex282db7d

42130301 has 16 divisors (see below), whose sum is σ = 46675440. Its totient is φ = 37847040.

The previous prime is 42130289. The next prime is 42130303. The reversal of 42130301 is 10303124.

It can be written as a sum of positive squares in 8 ways, for example, as 75076 + 42055225 = 274^2 + 6485^2 .

It is a cyclic number.

It is not a de Polignac number, because 42130301 - 214 = 42113917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42130303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47381 + ... + 48261.

It is an arithmetic number, because the mean of its divisors is an integer number (2917215).

Almost surely, 242130301 is an apocalyptic number.

It is an amenable number.

42130301 is a deficient number, since it is larger than the sum of its proper divisors (4545139).

42130301 is a wasteful number, since it uses less digits than its factorization.

42130301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 42130301 is about 6490.7858538085. The cubic root of 42130301 is about 347.9617614434.

Adding to 42130301 its reverse (10303124), we get a palindrome (52433425).

The spelling of 42130301 in words is "forty-two million, one hundred thirty thousand, three hundred one".

Divisors: 1 17 29 97 493 881 1649 2813 14977 25549 47821 85457 434333 1452769 2478253 42130301