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26314050101 is a prime number
BaseRepresentation
bin11000100000011100…
…001000101000110101
32111220212112020200012
4120200130020220311
5412342344100401
620031041230005
71621041510143
oct304034105065
974825466605
1026314050101
1110183660349
125124632305
132634850661
1413b8ac4593
15a4023a8bb
hex620708a35

26314050101 has 2 divisors, whose sum is σ = 26314050102. Its totient is φ = 26314050100.

The previous prime is 26314050089. The next prime is 26314050121. The reversal of 26314050101 is 10105041362.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18892227601 + 7421822500 = 137449^2 + 86150^2 .

It is a cyclic number.

It is not a de Polignac number, because 26314050101 - 218 = 26313787957 is a prime.

It is a super-2 number, since 2×263140501012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (26314050121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13157025050 + 13157025051.

It is an arithmetic number, because the mean of its divisors is an integer number (13157025051).

Almost surely, 226314050101 is an apocalyptic number.

It is an amenable number.

26314050101 is a deficient number, since it is larger than the sum of its proper divisors (1).

26314050101 is an equidigital number, since it uses as much as digits as its factorization.

26314050101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 26314050101 its reverse (10105041362), we get a palindrome (36419091463).

The spelling of 26314050101 in words is "twenty-six billion, three hundred fourteen million, fifty thousand, one hundred one".