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20111222000041 is a prime number
BaseRepresentation
bin1001001001010100000100…
…01111100100100110101001
32122012121120122021111221121
410210222002033210212221
510114000240313000131
6110434545015335241
74143662554306444
oct444520217444651
978177518244847
1020111222000041
11645413757a937
122309833681521
13b2b631a08993
144d756185a65b
1524d2143b2911
hex124a823e49a9

20111222000041 has 2 divisors, whose sum is σ = 20111222000042. Its totient is φ = 20111222000040.

The previous prime is 20111222000027. The next prime is 20111222000047. The reversal of 20111222000041 is 14000022211102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10998243649600 + 9112978350441 = 3316360^2 + 3018771^2 .

It is a cyclic number.

It is not a de Polignac number, because 20111222000041 - 215 = 20111221967273 is a prime.

It is a super-2 number, since 2×201112220000412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20111221999979 and 20111222000024.

It is not a weakly prime, because it can be changed into another prime (20111222000047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10055611000020 + 10055611000021.

It is an arithmetic number, because the mean of its divisors is an integer number (10055611000021).

Almost surely, 220111222000041 is an apocalyptic number.

It is an amenable number.

20111222000041 is a deficient number, since it is larger than the sum of its proper divisors (1).

20111222000041 is an equidigital number, since it uses as much as digits as its factorization.

20111222000041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20111222000041 its reverse (14000022211102), we get a palindrome (34111244211143).

The spelling of 20111222000041 in words is "twenty trillion, one hundred eleven billion, two hundred twenty-two million, forty-one", and thus it is an aban number.