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42067334321 is a prime number
BaseRepresentation
bin100111001011011010…
…001001010010110001
311000120202010000001022
4213023122021102301
51142123214144241
631154144545225
73016316304365
oct471332112261
9130522100038
1042067334321
1116927a05a01
1281a0322215
133c75473ccc
142070d932a5
15116324a54b
hex9cb6894b1

42067334321 has 2 divisors, whose sum is σ = 42067334322. Its totient is φ = 42067334320.

The previous prime is 42067334279. The next prime is 42067334333. The reversal of 42067334321 is 12343376024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31573380721 + 10493953600 = 177689^2 + 102440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42067334321 is a prime.

It is a super-3 number, since 3×420673343213 (a number of 33 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (42067334821) 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, 21033667160 + 21033667161.

It is an arithmetic number, because the mean of its divisors is an integer number (21033667161).

Almost surely, 242067334321 is an apocalyptic number.

It is an amenable number.

42067334321 is a deficient number, since it is larger than the sum of its proper divisors (1).

42067334321 is an equidigital number, since it uses as much as digits as its factorization.

42067334321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 35.

The spelling of 42067334321 in words is "forty-two billion, sixty-seven million, three hundred thirty-four thousand, three hundred twenty-one".