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211102222013 is a prime number
BaseRepresentation
bin1100010010011010101…
…1000100011010111101
3202011220002001222222022
43010212223010122331
511424314132101023
6240551245125525
721152211165134
oct3044653043275
9664802058868
10211102222013
11815897789a1
1234ab58598a5
1316ba3487807
14a3087a091b
155757ea67c8
hex3126ac46bd

211102222013 has 2 divisors, whose sum is σ = 211102222014. Its totient is φ = 211102222012.

The previous prime is 211102221929. The next prime is 211102222027. The reversal of 211102222013 is 310222201112.

211102222013 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., 210903214564 + 199007449 = 459242^2 + 14107^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211102222013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211102221982 and 211102222000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211402222013) 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, 105551111006 + 105551111007.

It is an arithmetic number, because the mean of its divisors is an integer number (105551111007).

Almost surely, 2211102222013 is an apocalyptic number.

It is an amenable number.

211102222013 is a deficient number, since it is larger than the sum of its proper divisors (1).

211102222013 is an equidigital number, since it uses as much as digits as its factorization.

211102222013 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 17.

Adding to 211102222013 its reverse (310222201112), we get a palindrome (521324423125).

The spelling of 211102222013 in words is "two hundred eleven billion, one hundred two million, two hundred twenty-two thousand, thirteen".