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211022130113 is a prime number
BaseRepresentation
bin1100010010000111100…
…1100010101111000001
3202011200111100220112122
43010201321202233001
511424133131130423
6240535304334025
721150216340064
oct3044171425701
9664614326478
10211022130113
1181548544743
1234a92a74315
1316b8c9c4662
14a2dbcb28db
155750e358c8
hex3121e62bc1

211022130113 has 2 divisors, whose sum is σ = 211022130114. Its totient is φ = 211022130112.

The previous prime is 211022130073. The next prime is 211022130131. The reversal of 211022130113 is 311031220112.

Together with next prime (211022130131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180920921104 + 30101209009 = 425348^2 + 173497^2 .

It is a cyclic number.

It is not a de Polignac number, because 211022130113 - 216 = 211022064577 is a prime.

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 = 211022130091 and 211022130100.

It is not a weakly prime, because it can be changed into another prime (211022130413) 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, 105511065056 + 105511065057.

It is an arithmetic number, because the mean of its divisors is an integer number (105511065057).

Almost surely, 2211022130113 is an apocalyptic number.

It is an amenable number.

211022130113 is a deficient number, since it is larger than the sum of its proper divisors (1).

211022130113 is an equidigital number, since it uses as much as digits as its factorization.

211022130113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 211022130113 its reverse (311031220112), we get a palindrome (522053350225).

The spelling of 211022130113 in words is "two hundred eleven billion, twenty-two million, one hundred thirty thousand, one hundred thirteen".