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106101211 is a prime number
BaseRepresentation
bin1100101001011…
…11100111011011
321101122111111111
412110233213123
5204130214321
614310041151
72425562656
oct624574733
9241574444
10106101211
1154989457
122b6491b7
1318c9b8a8
141013c89d
1594ac5e1
hex652f9db

106101211 has 2 divisors, whose sum is σ = 106101212. Its totient is φ = 106101210.

The previous prime is 106101209. The next prime is 106101217. The reversal of 106101211 is 112101601.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 106101211 - 21 = 106101209 is a prime.

It is a super-2 number, since 2×1061012112 = 22514933951333042, which contains 22 as substring.

Together with 106101209, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 106101191 and 106101200.

It is not a weakly prime, because it can be changed into another prime (106101217) 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, 53050605 + 53050606.

It is an arithmetic number, because the mean of its divisors is an integer number (53050606).

Almost surely, 2106101211 is an apocalyptic number.

106101211 is a deficient number, since it is larger than the sum of its proper divisors (1).

106101211 is an equidigital number, since it uses as much as digits as its factorization.

106101211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 106101211 is about 10300.5442089241. The cubic root of 106101211 is about 473.4129281056.

Adding to 106101211 its reverse (112101601), we get a palindrome (218202812).

The spelling of 106101211 in words is "one hundred six million, one hundred one thousand, two hundred eleven".