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211116081 = 31121734211
BaseRepresentation
bin11001001010101…
…10000000110001
3112201020210211010
430211112000301
5413021203311
632540541133
75142312531
oct1445260061
9481223733
10211116081
11a9195700
125a8517a9
1334979b77
14200774c1
1513802da6
hexc956031

211116081 has 24 divisors (see below), whose sum is σ = 327614112. Its totient is φ = 120419200.

The previous prime is 211116071. The next prime is 211116089. The reversal of 211116081 is 180611112.

It is a happy number.

It is not a de Polignac number, because 211116081 - 27 = 211115953 is a prime.

It is a super-2 number, since 2×2111160812 = 89139999313597122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211116089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10935 + ... + 23276.

It is an arithmetic number, because the mean of its divisors is an integer number (13650588).

Almost surely, 2211116081 is an apocalyptic number.

It is an amenable number.

211116081 is a deficient number, since it is larger than the sum of its proper divisors (116498031).

211116081 is a wasteful number, since it uses less digits than its factorization.

211116081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34253 (or 34242 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 21.

The square root of 211116081 is about 14529.8341697350. The cubic root of 211116081 is about 595.4433350548.

Adding to 211116081 its reverse (180611112), we get a palindrome (391727193).

The spelling of 211116081 in words is "two hundred eleven million, one hundred sixteen thousand, eighty-one".

Divisors: 1 3 11 17 33 51 121 187 363 561 2057 6171 34211 102633 376321 581587 1128963 1744761 4139531 6397457 12418593 19192371 70372027 211116081