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42313131 = 3371311709
BaseRepresentation
bin1010000101101…
…0010110101011
32221121201201000
42201122112223
541313010011
64110530043
71022440620
oct241322653
987551630
1042313131
1121980533
1212206923
1389c6673
145896347
153aac356
hex285a5ab

42313131 has 32 divisors (see below), whose sum is σ = 72230400. Its totient is φ = 23980320.

The previous prime is 42313099. The next prime is 42313147. The reversal of 42313131 is 13131324.

42313131 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 42313131 - 25 = 42313099 is a prime.

It is a super-2 number, since 2×423131312 = 3580802110046322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42313331) 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 31 ways as a sum of consecutive naturals, for example, 23905 + ... + 25613.

It is an arithmetic number, because the mean of its divisors is an integer number (2257200).

Almost surely, 242313131 is an apocalyptic number.

42313131 is a deficient number, since it is larger than the sum of its proper divisors (29917269).

42313131 is a wasteful number, since it uses less digits than its factorization.

42313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1850 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 42313131 is about 6504.8544180481. The cubic root of 42313131 is about 348.4643770791.

Adding to 42313131 its reverse (13131324), we get a palindrome (55444455).

The spelling of 42313131 in words is "forty-two million, three hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 131 189 393 917 1179 1709 2751 3537 5127 8253 11963 15381 24759 35889 46143 107667 223879 323001 671637 1567153 2014911 4701459 6044733 14104377 42313131