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42213013 is a prime number
BaseRepresentation
bin1010000100000…
…1111010010101
32221102122100221
42201001322111
541301304023
64104434341
71021543003
oct241017225
987378327
1042213013
1121912297
12121789b1
13898cc1b
14586ba73
153a8c85d
hex2841e95

42213013 has 2 divisors, whose sum is σ = 42213014. Its totient is φ = 42213012.

The previous prime is 42212999. The next prime is 42213029. The reversal of 42213013 is 31031224.

It is a happy number.

It is an a-pointer prime, because the next prime (42213029) can be obtained adding 42213013 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30393169 + 11819844 = 5513^2 + 3438^2 .

It is a cyclic number.

It is not a de Polignac number, because 42213013 - 29 = 42212501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42213713) 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, 21106506 + 21106507.

It is an arithmetic number, because the mean of its divisors is an integer number (21106507).

Almost surely, 242213013 is an apocalyptic number.

It is an amenable number.

42213013 is a deficient number, since it is larger than the sum of its proper divisors (1).

42213013 is an equidigital number, since it uses as much as digits as its factorization.

42213013 is an odious number, because the sum of its binary digits is odd.

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

The square root of 42213013 is about 6497.1542231965. The cubic root of 42213013 is about 348.1893237015.

Adding to 42213013 its reverse (31031224), we get a palindrome (73244237).

The spelling of 42213013 in words is "forty-two million, two hundred thirteen thousand, thirteen".