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21541636141 is a prime number
BaseRepresentation
bin10100000011111110…
…110100100000101101
32001121021101111110121
4110003332310200231
5323104124324031
613521320004541
71361551612624
oct240376644055
961537344417
1021541636141
119154768083
124212300751
132053bb737c
141084d466bb
1586128c011
hex503fb482d

21541636141 has 2 divisors, whose sum is σ = 21541636142. Its totient is φ = 21541636140.

The previous prime is 21541636117. The next prime is 21541636163. The reversal of 21541636141 is 14163614512.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15068790025 + 6472846116 = 122755^2 + 80454^2 .

It is a cyclic number.

It is not a de Polignac number, because 21541636141 - 27 = 21541636013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21541636097 and 21541636106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21541436141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10770818070 + 10770818071.

It is an arithmetic number, because the mean of its divisors is an integer number (10770818071).

Almost surely, 221541636141 is an apocalyptic number.

It is an amenable number.

21541636141 is a deficient number, since it is larger than the sum of its proper divisors (1).

21541636141 is an equidigital number, since it uses as much as digits as its factorization.

21541636141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17280, while the sum is 34.

The spelling of 21541636141 in words is "twenty-one billion, five hundred forty-one million, six hundred thirty-six thousand, one hundred forty-one".