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211102111133 is a prime number
BaseRepresentation
bin1100010010011010101…
…0101001010110011101
3202011220001212100212122
43010212222221112131
511424314120024013
6240551242512325
721152210223644
oct3044652512635
9664801770778
10211102111133
1181589702661
1234ab58056a5
1316ba34491c4
14a30877235b
155757e83a08
hex3126aa959d

211102111133 has 2 divisors, whose sum is σ = 211102111134. Its totient is φ = 211102111132.

The previous prime is 211102111127. The next prime is 211102111223. The reversal of 211102111133 is 331111201112.

211102111133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 192512970169 + 18589140964 = 438763^2 + 136342^2 .

It is a cyclic number.

It is not a de Polignac number, because 211102111133 - 222 = 211097916829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211102111733) 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, 105551055566 + 105551055567.

It is an arithmetic number, because the mean of its divisors is an integer number (105551055567).

Almost surely, 2211102111133 is an apocalyptic number.

It is an amenable number.

211102111133 is a deficient number, since it is larger than the sum of its proper divisors (1).

211102111133 is an equidigital number, since it uses as much as digits as its factorization.

211102111133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 211102111133 its reverse (331111201112), we get a palindrome (542213312245).

The spelling of 211102111133 in words is "two hundred eleven billion, one hundred two million, one hundred eleven thousand, one hundred thirty-three".