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211742129 is a prime number
BaseRepresentation
bin11001001111011…
…10110110110001
3112202102121121002
430213232312301
5413201222004
633002211345
75150530664
oct1447566661
9482377532
10211742129
11a9582aa5
125aab3b55
1334b38b01
142019b6db
15138c861e
hexc9eedb1

211742129 has 2 divisors, whose sum is σ = 211742130. Its totient is φ = 211742128.

The previous prime is 211742119. The next prime is 211742189. The reversal of 211742129 is 921247112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178275904 + 33466225 = 13352^2 + 5785^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211742129 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (211742119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105871064 + 105871065.

It is an arithmetic number, because the mean of its divisors is an integer number (105871065).

Almost surely, 2211742129 is an apocalyptic number.

It is an amenable number.

211742129 is a deficient number, since it is larger than the sum of its proper divisors (1).

211742129 is an equidigital number, since it uses as much as digits as its factorization.

211742129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 29.

The square root of 211742129 is about 14551.3617575813. The cubic root of 211742129 is about 596.0313342158.

The spelling of 211742129 in words is "two hundred eleven million, seven hundred forty-two thousand, one hundred twenty-nine".