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213400002442301 is a prime number
BaseRepresentation
bin110000100001011000001111…
…010101110011010000111101
31000222120211201002022001001022
4300201120033111303100331
5210432321201111123201
62033510335134353525
762643432665621513
oct6041301725632075
91028524632261038
10213400002442301
1161aa5484063374
121bb2642505b8a5
13920c6c2c2c17c
143a9a8882864b3
1519a105545341b
hexc2160f57343d

213400002442301 has 2 divisors, whose sum is σ = 213400002442302. Its totient is φ = 213400002442300.

The previous prime is 213400002442229. The next prime is 213400002442327. The reversal of 213400002442301 is 103244200004312.

It is an a-pointer prime, because the next prime (213400002442327) can be obtained adding 213400002442301 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162463090702201 + 50936911740100 = 12746101^2 + 7137010^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213400002442301 is a prime.

It is a super-2 number, since 2×2134000024423012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213400002442331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106700001221150 + 106700001221151.

It is an arithmetic number, because the mean of its divisors is an integer number (106700001221151).

Almost surely, 2213400002442301 is an apocalyptic number.

It is an amenable number.

213400002442301 is a deficient number, since it is larger than the sum of its proper divisors (1).

213400002442301 is an equidigital number, since it uses as much as digits as its factorization.

213400002442301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 213400002442301 its reverse (103244200004312), we get a palindrome (316644202446613).

The spelling of 213400002442301 in words is "two hundred thirteen trillion, four hundred billion, two million, four hundred forty-two thousand, three hundred one".