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21211112022209 is a prime number
BaseRepresentation
bin1001101001010100110001…
…10011000010000011000001
32210002202120212101211110022
410310222120303002003001
510240010324134202314
6113040130023543225
74316311062244064
oct464523063020301
983082525354408
1021211112022209
11683864484495a
122466a325bab15
13bab278a889c5
145348a24968db
1526bb3a38c78e
hex134a98cc20c1

21211112022209 has 2 divisors, whose sum is σ = 21211112022210. Its totient is φ = 21211112022208.

The previous prime is 21211112022169. The next prime is 21211112022227. The reversal of 21211112022209 is 90222021111212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19699572096400 + 1511539925809 = 4438420^2 + 1229447^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21211112022209 is a prime.

It is a super-2 number, since 2×212111120222092 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21211112022229) 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, 10605556011104 + 10605556011105.

It is an arithmetic number, because the mean of its divisors is an integer number (10605556011105).

Almost surely, 221211112022209 is an apocalyptic number.

It is an amenable number.

21211112022209 is a deficient number, since it is larger than the sum of its proper divisors (1).

21211112022209 is an equidigital number, since it uses as much as digits as its factorization.

21211112022209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 21211112022209 in words is "twenty-one trillion, two hundred eleven billion, one hundred twelve million, twenty-two thousand, two hundred nine".