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111111220001 is a prime number
BaseRepresentation
bin110011101111010111…
…1101010101100100001
3101121210112100210122102
41213132233222230201
53310023433020001
6123013243020145
711012303533625
oct1473657525441
9347715323572
10111111220001
1143138429151
121964ab0a655
13a6297a8832
145540a03185
152d54947e6b
hex19debeab21

111111220001 has 2 divisors, whose sum is σ = 111111220002. Its totient is φ = 111111220000.

The previous prime is 111111219997. The next prime is 111111220013. The reversal of 111111220001 is 100022111111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95372262976 + 15738957025 = 308824^2 + 125455^2 .

It is a cyclic number.

It is not a de Polignac number, because 111111220001 - 22 = 111111219997 is a prime.

It is a super-2 number, since 2×1111112200012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111111220061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555610000 + 55555610001.

It is an arithmetic number, because the mean of its divisors is an integer number (55555610001).

Almost surely, 2111111220001 is an apocalyptic number.

It is an amenable number.

111111220001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111220001 is an equidigital number, since it uses as much as digits as its factorization.

111111220001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111111220001 its reverse (100022111111), we get a palindrome (211133331112).

The spelling of 111111220001 in words is "one hundred eleven billion, one hundred eleven million, two hundred twenty thousand, one".