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409972232281 is a prime number
BaseRepresentation
bin1011111011101000011…
…11111101000001011001
31110012012200002020222011
411331310033331001121
523204110342413111
6512201051425521
741422331322343
oct5756417750131
91405180066864
10409972232281
11148960701087
1267556a552a1
132c8776558c1
1415bb2778293
15a9e711e021
hex5f743fd059

409972232281 has 2 divisors, whose sum is σ = 409972232282. Its totient is φ = 409972232280.

The previous prime is 409972232207. The next prime is 409972232317. The reversal of 409972232281 is 182232279904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 387401677056 + 22570555225 = 622416^2 + 150235^2 .

It is a cyclic number.

It is not a de Polignac number, because 409972232281 - 29 = 409972231769 is a prime.

It is a super-2 number, since 2×4099722322812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (409972232881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204986116140 + 204986116141.

It is an arithmetic number, because the mean of its divisors is an integer number (204986116141).

Almost surely, 2409972232281 is an apocalyptic number.

It is an amenable number.

409972232281 is a deficient number, since it is larger than the sum of its proper divisors (1).

409972232281 is an equidigital number, since it uses as much as digits as its factorization.

409972232281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 409972232281 in words is "four hundred nine billion, nine hundred seventy-two million, two hundred thirty-two thousand, two hundred eighty-one".