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211120122113 is a prime number
BaseRepresentation
bin1100010010011110111…
…1010110100100000001
3202011221022202102021222
43010213233112210001
511424333222401423
6240553124524425
721152516300045
oct3044757264401
9664838672258
10211120122113
118159889456a
1234abb850715
1316ba70b41a4
14a30ad00025
1557598403c8
hex3127bd6901

211120122113 has 2 divisors, whose sum is σ = 211120122114. Its totient is φ = 211120122112.

The previous prime is 211120122097. The next prime is 211120122131. The reversal of 211120122113 is 311221021112.

It is a happy number.

Together with next prime (211120122131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209006237584 + 2113884529 = 457172^2 + 45977^2 .

It is a cyclic number.

It is not a de Polignac number, because 211120122113 - 24 = 211120122097 is a prime.

It is a super-2 number, since 2×2111201221132 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211120122091 and 211120122100.

It is not a weakly prime, because it can be changed into another prime (211120122173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105560061056 + 105560061057.

It is an arithmetic number, because the mean of its divisors is an integer number (105560061057).

Almost surely, 2211120122113 is an apocalyptic number.

It is an amenable number.

211120122113 is a deficient number, since it is larger than the sum of its proper divisors (1).

211120122113 is an equidigital number, since it uses as much as digits as its factorization.

211120122113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 211120122113 its reverse (311221021112), we get a palindrome (522341143225).

The spelling of 211120122113 in words is "two hundred eleven billion, one hundred twenty million, one hundred twenty-two thousand, one hundred thirteen".