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21111144013 is a prime number
BaseRepresentation
bin10011101010010100…
…100111111001001101
32000111021100020021201
4103222110213321031
5321213423102023
613410501025501
71345103522551
oct235224477115
960437306251
1021111144013
118a53765a63
1241120b5291
131cb595aabb
141043ac5861
158385a3bad
hex4ea527e4d

21111144013 has 2 divisors, whose sum is σ = 21111144014. Its totient is φ = 21111144012.

The previous prime is 21111144011. The next prime is 21111144029. The reversal of 21111144013 is 31044111112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21053429604 + 57714409 = 145098^2 + 7597^2 .

It is a cyclic number.

It is not a de Polignac number, because 21111144013 - 21 = 21111144011 is a prime.

Together with 21111144011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21111144011) 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, 10555572006 + 10555572007.

It is an arithmetic number, because the mean of its divisors is an integer number (10555572007).

Almost surely, 221111144013 is an apocalyptic number.

It is an amenable number.

21111144013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21111144013 is an equidigital number, since it uses as much as digits as its factorization.

21111144013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 21111144013 its reverse (31044111112), we get a palindrome (52155255125).

The spelling of 21111144013 in words is "twenty-one billion, one hundred eleven million, one hundred forty-four thousand, thirteen".