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42414221 is a prime number
BaseRepresentation
bin1010000111001…
…1000010001101
32221210212101002
42201303002031
541324223341
64113030045
71023341423
oct241630215
987725332
1042414221
1121a3a483
1212255325
138a30695
1458c1113
153acc29b
hex287308d

42414221 has 2 divisors, whose sum is σ = 42414222. Its totient is φ = 42414220.

The previous prime is 42414187. The next prime is 42414223. The reversal of 42414221 is 12241424.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35581225 + 6832996 = 5965^2 + 2614^2 .

It is a cyclic number.

It is not a de Polignac number, because 42414221 - 214 = 42397837 is a prime.

It is a super-2 number, since 2×424142212 = 3597932286073682, which contains 22 as substring.

Together with 42414223, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 42414193 and 42414202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42414223) 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 as a sum of consecutive naturals, namely, 21207110 + 21207111.

It is an arithmetic number, because the mean of its divisors is an integer number (21207111).

Almost surely, 242414221 is an apocalyptic number.

It is an amenable number.

42414221 is a deficient number, since it is larger than the sum of its proper divisors (1).

42414221 is an equidigital number, since it uses as much as digits as its factorization.

42414221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 512, while the sum is 20.

The square root of 42414221 is about 6512.6201332490. The cubic root of 42414221 is about 348.7416609646.

Adding to 42414221 its reverse (12241424), we get a palindrome (54655645).

The spelling of 42414221 in words is "forty-two million, four hundred fourteen thousand, two hundred twenty-one".