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2210205120293 is a prime number
BaseRepresentation
bin100000001010011010011…
…111011011011100100101
321211021220222212100201202
4200022122133123130211
5242203000002322133
64411204302132245
7315452641355252
oct40123237333445
97737828770652
102210205120293
117823851969a5
122b8429281085
13130562bcb761
1478d9004a429
153c75c32b2e8
hex2029a7db725

2210205120293 has 2 divisors, whose sum is σ = 2210205120294. Its totient is φ = 2210205120292.

The previous prime is 2210205120287. The next prime is 2210205120341. The reversal of 2210205120293 is 3920215020122.

2210205120293 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., 1972389918724 + 237815201569 = 1404418^2 + 487663^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2210205120293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210205120493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105102560146 + 1105102560147.

It is an arithmetic number, because the mean of its divisors is an integer number (1105102560147).

Almost surely, 22210205120293 is an apocalyptic number.

It is an amenable number.

2210205120293 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210205120293 is an equidigital number, since it uses as much as digits as its factorization.

2210205120293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 2210205120293 in words is "two trillion, two hundred ten billion, two hundred five million, one hundred twenty thousand, two hundred ninety-three".