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211223133059 is a prime number
BaseRepresentation
bin1100010010110111100…
…0010011101110000011
3202012012111120220202012
43010231320103232003
511430041110224214
6241011244443135
721155210002361
oct3045570235603
9665174526665
10211223133059
1181640a52184
1234b2a2494ab
1316bc2540303
14a31a876631
1557638dc03e
hex312de13b83

211223133059 has 2 divisors, whose sum is σ = 211223133060. Its totient is φ = 211223133058.

The previous prime is 211223133029. The next prime is 211223133061. The reversal of 211223133059 is 950331322112.

211223133059 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211223133059 is a prime.

Together with 211223133061, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (211223133029) 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, 105611566529 + 105611566530.

It is an arithmetic number, because the mean of its divisors is an integer number (105611566530).

Almost surely, 2211223133059 is an apocalyptic number.

211223133059 is a deficient number, since it is larger than the sum of its proper divisors (1).

211223133059 is an equidigital number, since it uses as much as digits as its factorization.

211223133059 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 32.

The spelling of 211223133059 in words is "two hundred eleven billion, two hundred twenty-three million, one hundred thirty-three thousand, fifty-nine".