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42067577221 is a prime number
BaseRepresentation
bin100111001011011011…
…000100100110000101
311000120202120100020121
4213023123010212011
51142123244432341
631154154101541
73016321335505
oct471333044605
9130522510217
1042067577221
111692806144a
1281a041a8b1
133c7552a737
142071017a05
1511632974d1
hex9cb6c4985

42067577221 has 2 divisors, whose sum is σ = 42067577222. Its totient is φ = 42067577220.

The previous prime is 42067577191. The next prime is 42067577243. The reversal of 42067577221 is 12277576024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38175688996 + 3891888225 = 195386^2 + 62385^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42067577221 is a prime.

It is a super-3 number, since 3×420675772213 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42067577281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21033788610 + 21033788611.

It is an arithmetic number, because the mean of its divisors is an integer number (21033788611).

Almost surely, 242067577221 is an apocalyptic number.

It is an amenable number.

42067577221 is a deficient number, since it is larger than the sum of its proper divisors (1).

42067577221 is an equidigital number, since it uses as much as digits as its factorization.

42067577221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 329280, while the sum is 43.

The spelling of 42067577221 in words is "forty-two billion, sixty-seven million, five hundred seventy-seven thousand, two hundred twenty-one".