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21967361460013 is a prime number
BaseRepresentation
bin1001111111010101011001…
…10001101100011100101101
32212210001121012010201211111
410333222230301230130231
510334403124013210023
6114415355545552021
74425042460352464
oct477525461543455
985701535121744
1021967361460013
116aaa33a946732
122569508aa5611
13c34689937c48
1455d3240ab9db
1528164c79500d
hex13faacc6c72d

21967361460013 has 2 divisors, whose sum is σ = 21967361460014. Its totient is φ = 21967361460012.

The previous prime is 21967361459959. The next prime is 21967361460047. The reversal of 21967361460013 is 31006416376912.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21966300459684 + 1061000329 = 4686822^2 + 32573^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21967361460013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21967361460613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10983680730006 + 10983680730007.

It is an arithmetic number, because the mean of its divisors is an integer number (10983680730007).

Almost surely, 221967361460013 is an apocalyptic number.

It is an amenable number.

21967361460013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21967361460013 is an equidigital number, since it uses as much as digits as its factorization.

21967361460013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 979776, while the sum is 49.

The spelling of 21967361460013 in words is "twenty-one trillion, nine hundred sixty-seven billion, three hundred sixty-one million, four hundred sixty thousand, thirteen".