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42136131 = 3137157653
BaseRepresentation
bin1010000010111…
…1001001000011
32221021201220110
42200233021003
541241324011
64103042403
71021102602
oct240571103
987251813
1042136131
112186a554
1212140403
138963c2b
14584ba39
153a74ba6
hex282f243

42136131 has 16 divisors (see below), whose sum is σ = 57039264. Its totient is φ = 27665664.

The previous prime is 42136117. The next prime is 42136139. The reversal of 42136131 is 13163124.

It is not a de Polignac number, because 42136131 - 29 = 42135619 is a prime.

It is a super-2 number, since 2×421361312 = 3550907071298322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42136098 and 42136107.

It is not an unprimeable number, because it can be changed into a prime (42136139) 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, 64201 + ... + 64853.

It is an arithmetic number, because the mean of its divisors is an integer number (3564954).

Almost surely, 242136131 is an apocalyptic number.

42136131 is a deficient number, since it is larger than the sum of its proper divisors (14903133).

42136131 is a wasteful number, since it uses less digits than its factorization.

42136131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950.

The product of its digits is 432, while the sum is 21.

The square root of 42136131 is about 6491.2349364354. The cubic root of 42136131 is about 347.9778110439.

Adding to 42136131 its reverse (13163124), we get a palindrome (55299255).

The spelling of 42136131 in words is "forty-two million, one hundred thirty-six thousand, one hundred thirty-one".

Divisors: 1 3 137 157 411 471 653 1959 21509 64527 89461 102521 268383 307563 14045377 42136131