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105421212317 is a prime number
BaseRepresentation
bin110001000101110011…
…0000000101010011101
3101002002222121110111002
41202023212000222131
53211400312243232
6120232502240045
710421302343141
oct1421346005235
9332088543432
10105421212317
1140788587163
1218521426025
139c309c8a95
145161049221
152b20144b62
hex188b980a9d

105421212317 has 2 divisors, whose sum is σ = 105421212318. Its totient is φ = 105421212316.

The previous prime is 105421212313. The next prime is 105421212373. The reversal of 105421212317 is 713212124501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100021020121 + 5400192196 = 316261^2 + 73486^2 .

It is a cyclic number.

It is not a de Polignac number, because 105421212317 - 22 = 105421212313 is a prime.

It is a super-2 number, since 2×1054212123172 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105421212317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105421212313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52710606158 + 52710606159.

It is an arithmetic number, because the mean of its divisors is an integer number (52710606159).

Almost surely, 2105421212317 is an apocalyptic number.

It is an amenable number.

105421212317 is a deficient number, since it is larger than the sum of its proper divisors (1).

105421212317 is an equidigital number, since it uses as much as digits as its factorization.

105421212317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360, while the sum is 29.

Adding to 105421212317 its reverse (713212124501), we get a palindrome (818633336818).

The spelling of 105421212317 in words is "one hundred five billion, four hundred twenty-one million, two hundred twelve thousand, three hundred seventeen".