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42312101 = 1361229233
BaseRepresentation
bin1010000101101…
…0000110100101
32221121200021212
42201122012211
541312441401
64110521205
71022434616
oct241320645
987550255
1042312101
112197a787
1212206205
1389c6060
145895c0d
153aabdbb
hex285a1a5

42312101 has 16 divisors (see below), whose sum is σ = 46715760. Its totient is φ = 38085120.

The previous prime is 42312097. The next prime is 42312103. The reversal of 42312101 is 10121324.

It can be written as a sum of positive squares in 8 ways, for example, as 6300100 + 36012001 = 2510^2 + 6001^2 .

It is a cyclic number.

It is not a de Polignac number, because 42312101 - 22 = 42312097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42312103) 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, 181481 + ... + 181713.

It is an arithmetic number, because the mean of its divisors is an integer number (2919735).

Almost surely, 242312101 is an apocalyptic number.

It is an amenable number.

42312101 is a deficient number, since it is larger than the sum of its proper divisors (4403659).

42312101 is a wasteful number, since it uses less digits than its factorization.

42312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 42312101 is about 6504.7752459251. The cubic root of 42312101 is about 348.4615495784.

Adding to 42312101 its reverse (10121324), we get a palindrome (52433425).

The spelling of 42312101 in words is "forty-two million, three hundred twelve thousand, one hundred one".

Divisors: 1 13 61 229 233 793 2977 3029 13969 14213 53357 181597 184769 693641 3254777 42312101