Search a number
-
+
10221323219917 is a prime number
BaseRepresentation
bin1001010010111101011001…
…0101101111001111001101
31100012011000120220202001121
42110233112111233033031
52314431232221014132
633423335553440541
72103315626565235
oct224572625571715
940164016822047
1010221323219917
113290925540a17
121190b64570151
13591b3602a194
14274a0113ccc5
1512ad303ad497
hex94bd656f3cd

10221323219917 has 2 divisors, whose sum is σ = 10221323219918. Its totient is φ = 10221323219916.

The previous prime is 10221323219893. The next prime is 10221323219951. The reversal of 10221323219917 is 71991232312201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8112362864841 + 2108960355076 = 2848221^2 + 1452226^2 .

It is an emirp because it is prime and its reverse (71991232312201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10221323219917 - 231 = 10219175736269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221323219977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110661609958 + 5110661609959.

It is an arithmetic number, because the mean of its divisors is an integer number (5110661609959).

Almost surely, 210221323219917 is an apocalyptic number.

It is an amenable number.

10221323219917 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221323219917 is an equidigital number, since it uses as much as digits as its factorization.

10221323219917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81648, while the sum is 43.

The spelling of 10221323219917 in words is "ten trillion, two hundred twenty-one billion, three hundred twenty-three million, two hundred nineteen thousand, nine hundred seventeen".