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20431332461 is a prime number
BaseRepresentation
bin10011000001110011…
…010110010001101101
31221201220011020011002
4103001303112101231
5313320410114321
613215214210045
71322210313641
oct230163262155
957656136132
1020431332461
118734a55531
123b624b3925
131c07b69847
14dbb6c4c21
157e8a6d20b
hex4c1cd646d

20431332461 has 2 divisors, whose sum is σ = 20431332462. Its totient is φ = 20431332460.

The previous prime is 20431332431. The next prime is 20431332463. The reversal of 20431332461 is 16423313402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16830132361 + 3601200100 = 129731^2 + 60010^2 .

It is a cyclic number.

It is not a de Polignac number, because 20431332461 - 214 = 20431316077 is a prime.

It is a super-2 number, since 2×204313324612 (a number of 21 digits) contains 22 as substring.

Together with 20431332463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20431332463) 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, 10215666230 + 10215666231.

It is an arithmetic number, because the mean of its divisors is an integer number (10215666231).

Almost surely, 220431332461 is an apocalyptic number.

It is an amenable number.

20431332461 is a deficient number, since it is larger than the sum of its proper divisors (1).

20431332461 is an equidigital number, since it uses as much as digits as its factorization.

20431332461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 20431332461 its reverse (16423313402), we get a palindrome (36854645863).

The spelling of 20431332461 in words is "twenty billion, four hundred thirty-one million, three hundred thirty-two thousand, four hundred sixty-one".