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11221110301 is a prime number
BaseRepresentation
bin10100111001101010…
…01000111000011101
31001222000111110112211
422130311020320131
5140440101012201
65053243200421
7545032602202
oct123465107035
931860443484
1011221110301
11483902a285
122211b16111
13109a99354b
147863c9ca9
1545a1b8651
hex29cd48e1d

11221110301 has 2 divisors, whose sum is σ = 11221110302. Its totient is φ = 11221110300.

The previous prime is 11221110209. The next prime is 11221110317. The reversal of 11221110301 is 10301112211.

It is a happy number.

11221110301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11116539225 + 104571076 = 105435^2 + 10226^2 .

It is a cyclic number.

It is not a de Polignac number, because 11221110301 - 211 = 11221108253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11221110391) 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, 5610555150 + 5610555151.

It is an arithmetic number, because the mean of its divisors is an integer number (5610555151).

Almost surely, 211221110301 is an apocalyptic number.

It is an amenable number.

11221110301 is a deficient number, since it is larger than the sum of its proper divisors (1).

11221110301 is an equidigital number, since it uses as much as digits as its factorization.

11221110301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11221110301 its reverse (10301112211), we get a palindrome (21522222512).

It can be divided in two parts, 112211 and 10301, that multiplied together give a palindrome (1155885511).

The spelling of 11221110301 in words is "eleven billion, two hundred twenty-one million, one hundred ten thousand, three hundred one".