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211131011 = 71313191759
BaseRepresentation
bin11001001010110…
…01101010000011
3112201021120022002
430211121222003
5413022143021
632541134215
75142404210
oct1445315203
9481246262
10211131011
11a91a5943
125a85a36b
13349838c0
142007cb07
151380750b
hexc959a83

211131011 has 16 divisors (see below), whose sum is σ = 260198400. Its totient is φ = 166827168.

The previous prime is 211130993. The next prime is 211131013. The reversal of 211131011 is 110131112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 211131011 - 214 = 211114627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211130983 and 211131001.

It is not an unprimeable number, because it can be changed into a prime (211131013) 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 in 15 ways as a sum of consecutive naturals, for example, 119150 + ... + 120908.

It is an arithmetic number, because the mean of its divisors is an integer number (16262400).

Almost surely, 2211131011 is an apocalyptic number.

211131011 is a deficient number, since it is larger than the sum of its proper divisors (49067389).

211131011 is a wasteful number, since it uses less digits than its factorization.

211131011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098.

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 211131011 is about 14530.3479311405. The cubic root of 211131011 is about 595.4573711866.

Adding to 211131011 its reverse (110131112), we get a palindrome (321262123).

The spelling of 211131011 in words is "two hundred eleven million, one hundred thirty-one thousand, eleven".

Divisors: 1 7 13 91 1319 1759 9233 12313 17147 22867 120029 160069 2320121 16240847 30161573 211131011