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42213029 is a prime number
BaseRepresentation
bin1010000100000…
…1111010100101
32221102122101112
42201001322211
541301304104
64104434405
71021543025
oct241017245
987378345
1042213029
1121912301
1212178a05
13898cc31
14586ba85
153a8c86e
hex2841ea5

42213029 has 2 divisors, whose sum is σ = 42213030. Its totient is φ = 42213028.

The previous prime is 42213013. The next prime is 42213077. The reversal of 42213029 is 92031224.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40768225 + 1444804 = 6385^2 + 1202^2 .

It is a cyclic number.

It is not a de Polignac number, because 42213029 - 24 = 42213013 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 42212995 and 42213013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42213089) 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, 21106514 + 21106515.

It is an arithmetic number, because the mean of its divisors is an integer number (21106515).

Almost surely, 242213029 is an apocalyptic number.

It is an amenable number.

42213029 is a deficient number, since it is larger than the sum of its proper divisors (1).

42213029 is an equidigital number, since it uses as much as digits as its factorization.

42213029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 42213029 is about 6497.1554545047. The cubic root of 42213029 is about 348.1893676929.

The spelling of 42213029 in words is "forty-two million, two hundred thirteen thousand, twenty-nine".