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42312031 = 17191011297
BaseRepresentation
bin1010000101101…
…0000101011111
32221121200012021
42201122011133
541312441111
64110521011
71022434456
oct241320537
987550167
1042312031
112197a723
1212206167
1389c6008
145895b9d
153aabd71
hex285a15f

42312031 has 16 divisors (see below), whose sum is σ = 47662560. Its totient is φ = 37324800.

The previous prime is 42311999. The next prime is 42312037. The reversal of 42312031 is 13021324.

It is a happy number.

42312031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 11-Lehmer number, since φ(42312031) divides (42312031-1)11.

It is a cyclic number.

It is not a de Polignac number, because 42312031 - 25 = 42311999 is a prime.

It is a super-2 number, since 2×423120312 = 3580615934689922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42311996 and 42312014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42312037) 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 15 ways as a sum of consecutive naturals, for example, 31975 + ... + 33271.

It is an arithmetic number, because the mean of its divisors is an integer number (2978910).

Almost surely, 242312031 is an apocalyptic number.

42312031 is a deficient number, since it is larger than the sum of its proper divisors (5350529).

42312031 is a wasteful number, since it uses less digits than its factorization.

42312031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 42312031 is about 6504.7698652604. The cubic root of 42312031 is about 348.4613574165.

Adding to 42312031 its reverse (13021324), we get a palindrome (55333355).

The spelling of 42312031 in words is "forty-two million, three hundred twelve thousand, thirty-one".

Divisors: 1 17 19 101 323 1297 1717 1919 22049 24643 32623 130997 418931 2226949 2488943 42312031