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211010891129 is a prime number
BaseRepresentation
bin1100010010000100111…
…0101010110101111001
3202011122201012220112222
43010201032222311321
511424122242004004
6240534223413425
721150021660263
oct3044116526571
9664581186488
10211010891129
1181542168725
1234a8b154275
1316b8a58ab7c
14a2da5c8b33
15574ee657be
hex31213aad79

211010891129 has 2 divisors, whose sum is σ = 211010891130. Its totient is φ = 211010891128.

The previous prime is 211010891101. The next prime is 211010891131. The reversal of 211010891129 is 921198010112.

It is a happy number.

211010891129 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., 158272687225 + 52738203904 = 397835^2 + 229648^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211010891129 is a prime.

Together with 211010891131, 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 (211010891149) 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, 105505445564 + 105505445565.

It is an arithmetic number, because the mean of its divisors is an integer number (105505445565).

Almost surely, 2211010891129 is an apocalyptic number.

It is an amenable number.

211010891129 is a deficient number, since it is larger than the sum of its proper divisors (1).

211010891129 is an equidigital number, since it uses as much as digits as its factorization.

211010891129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 35.

The spelling of 211010891129 in words is "two hundred eleven billion, ten million, eight hundred ninety-one thousand, one hundred twenty-nine".