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42166452301 is a prime number
BaseRepresentation
bin100111010001010100…
…010000000001001101
311000211122121201100121
4213101110100001031
51142324102433201
631212045224541
73021631634161
oct472124200115
9130748551317
1042166452301
1116978954796
128209562151
133c8cb691bc
1420801d4ca1
15116bcc89a1
hex9d151004d

42166452301 has 2 divisors, whose sum is σ = 42166452302. Its totient is φ = 42166452300.

The previous prime is 42166452287. The next prime is 42166452311. The reversal of 42166452301 is 10325466124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40206265225 + 1960187076 = 200515^2 + 44274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42166452301 is a prime.

It is a super-3 number, since 3×421664523013 (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 (42166452311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21083226150 + 21083226151.

It is an arithmetic number, because the mean of its divisors is an integer number (21083226151).

Almost surely, 242166452301 is an apocalyptic number.

It is an amenable number.

42166452301 is a deficient number, since it is larger than the sum of its proper divisors (1).

42166452301 is an equidigital number, since it uses as much as digits as its factorization.

42166452301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 42166452301 in words is "forty-two billion, one hundred sixty-six million, four hundred fifty-two thousand, three hundred one".