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106611311 is a prime number
BaseRepresentation
bin1100101101011…
…00001001101111
321102121102020002
412112230021233
5204243030221
614325014515
72433116102
oct626541157
9242542202
10106611311
11551a7724
122b85443b
1319119b21
1410232739
15955d80b
hex65ac26f

106611311 has 2 divisors, whose sum is σ = 106611312. Its totient is φ = 106611310.

The previous prime is 106611287. The next prime is 106611313. The reversal of 106611311 is 113116601.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106611311 is a prime.

It is a super-2 number, since 2×1066113112 = 22731943266277442, which contains 22 as substring.

Together with 106611313, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106611313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53305655 + 53305656.

It is an arithmetic number, because the mean of its divisors is an integer number (53305656).

Almost surely, 2106611311 is an apocalyptic number.

106611311 is a deficient number, since it is larger than the sum of its proper divisors (1).

106611311 is an equidigital number, since it uses as much as digits as its factorization.

106611311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 106611311 is about 10325.2753474181. The cubic root of 106611311 is about 474.1703871528.

Adding to 106611311 its reverse (113116601), we get a palindrome (219727912).

The spelling of 106611311 in words is "one hundred six million, six hundred eleven thousand, three hundred eleven".