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211066829089 is a prime number
BaseRepresentation
bin1100010010010010010…
…0000011100100100001
3202011210121110212000021
43010210210003210201
511424231102012324
6240543542353441
721151301305564
oct3044444034441
9664717425007
10211066829089
11815707a4746
1234aa5a2b881
1316b99044c5c
14a303bca4db
155754d14ae4
hex3124903921

211066829089 has 2 divisors, whose sum is σ = 211066829090. Its totient is φ = 211066829088.

The previous prime is 211066829047. The next prime is 211066829137. The reversal of 211066829089 is 980928660112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 146855269089 + 64211560000 = 383217^2 + 253400^2 .

It is a cyclic number.

It is not a de Polignac number, because 211066829089 - 213 = 211066820897 is a prime.

It is not a weakly prime, because it can be changed into another prime (211066820089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105533414544 + 105533414545.

It is an arithmetic number, because the mean of its divisors is an integer number (105533414545).

Almost surely, 2211066829089 is an apocalyptic number.

It is an amenable number.

211066829089 is a deficient number, since it is larger than the sum of its proper divisors (1).

211066829089 is an equidigital number, since it uses as much as digits as its factorization.

211066829089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 211066829089 in words is "two hundred eleven billion, sixty-six million, eight hundred twenty-nine thousand, eighty-nine".