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21305274337 is a prime number
BaseRepresentation
bin10011110101111001…
…001010111111100001
32000222210122002000201
4103311321022333201
5322113122234322
613442033545201
71352651562304
oct236571127741
960883562021
1021305274337
1190432a9a46
124167115201
132016c3b509
1410617bab3b
1584a64dd27
hex4f5e4afe1

21305274337 has 2 divisors, whose sum is σ = 21305274338. Its totient is φ = 21305274336.

The previous prime is 21305274311. The next prime is 21305274379. The reversal of 21305274337 is 73347250312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20528871841 + 776402496 = 143279^2 + 27864^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21305274337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21305274296 and 21305274305.

It is not a weakly prime, because it can be changed into another prime (21305274307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10652637168 + 10652637169.

It is an arithmetic number, because the mean of its divisors is an integer number (10652637169).

Almost surely, 221305274337 is an apocalyptic number.

It is an amenable number.

21305274337 is a deficient number, since it is larger than the sum of its proper divisors (1).

21305274337 is an equidigital number, since it uses as much as digits as its factorization.

21305274337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 37.

The spelling of 21305274337 in words is "twenty-one billion, three hundred five million, two hundred seventy-four thousand, three hundred thirty-seven".