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42124213 is a prime number
BaseRepresentation
bin1010000010110…
…0001110110101
32221021010120001
42200230032311
541240433323
64102511301
71021023055
oct240541665
987233501
1042124213
11218615aa
1212135531
13895b691
145847565
153a713ad
hex282c3b5

42124213 has 2 divisors, whose sum is σ = 42124214. Its totient is φ = 42124212.

The previous prime is 42124207. The next prime is 42124231. The reversal of 42124213 is 31242124.

Together with next prime (42124231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30448324 + 11675889 = 5518^2 + 3417^2 .

It is a cyclic number.

It is not a de Polignac number, because 42124213 - 217 = 41993141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42124813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21062106 + 21062107.

It is an arithmetic number, because the mean of its divisors is an integer number (21062107).

Almost surely, 242124213 is an apocalyptic number.

It is an amenable number.

42124213 is a deficient number, since it is larger than the sum of its proper divisors (1).

42124213 is an equidigital number, since it uses as much as digits as its factorization.

42124213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 384, while the sum is 19.

The square root of 42124213 is about 6490.3168643757. The cubic root of 42124213 is about 347.9450000057.

Adding to 42124213 its reverse (31242124), we get a palindrome (73366337).

The spelling of 42124213 in words is "forty-two million, one hundred twenty-four thousand, two hundred thirteen".