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211101010114229 is a prime number
BaseRepresentation
bin101111111111111011001000…
…101110000011011010110101
31000200110001121100122012100122
4233333323020232003122311
5210132134332042123404
62024550244254221325
762315354552354114
oct5777731056033265
91020401540565318
10211101010114229
11612994878aa104
121b8149591b4845
1390a39805613a1
143a1b4b443bc7b
15196134d4b13be
hexbffec8b836b5

211101010114229 has 2 divisors, whose sum is σ = 211101010114230. Its totient is φ = 211101010114228.

The previous prime is 211101010114201. The next prime is 211101010114231. The reversal of 211101010114229 is 922411010101112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204418449060004 + 6682561054225 = 14297498^2 + 2585065^2 .

It is a cyclic number.

It is not a de Polignac number, because 211101010114229 - 240 = 210001498486453 is a prime.

Together with 211101010114231, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 211101010114198 and 211101010114207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211101010113229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550505057114 + 105550505057115.

It is an arithmetic number, because the mean of its divisors is an integer number (105550505057115).

Almost surely, 2211101010114229 is an apocalyptic number.

It is an amenable number.

211101010114229 is a deficient number, since it is larger than the sum of its proper divisors (1).

211101010114229 is an equidigital number, since it uses as much as digits as its factorization.

211101010114229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 211101010114229 in words is "two hundred eleven trillion, one hundred one billion, ten million, one hundred fourteen thousand, two hundred twenty-nine".