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211212210113 is a prime number
BaseRepresentation
bin1100010010110100111…
…0101000111111000001
3202012011202000222021122
43010231032220333001
511430030311210423
6241010214402025
721155015110142
oct3045516507701
9665152028248
10211212210113
1181635871653
1234b26660315
1316bc01b7628
14a319231ac9
1557629808c8
hex312d3a8fc1

211212210113 has 2 divisors, whose sum is σ = 211212210114. Its totient is φ = 211212210112.

The previous prime is 211212210103. The next prime is 211212210229. The reversal of 211212210113 is 311012212112.

It is a happy number.

211212210113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 171617975824 + 39594234289 = 414268^2 + 198983^2 .

It is a cyclic number.

It is not a de Polignac number, because 211212210113 - 26 = 211212210049 is a prime.

It is a super-2 number, since 2×2112122101132 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211212210091 and 211212210100.

It is not a weakly prime, because it can be changed into another prime (211212210103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105606105056 + 105606105057.

It is an arithmetic number, because the mean of its divisors is an integer number (105606105057).

Almost surely, 2211212210113 is an apocalyptic number.

It is an amenable number.

211212210113 is a deficient number, since it is larger than the sum of its proper divisors (1).

211212210113 is an equidigital number, since it uses as much as digits as its factorization.

211212210113 is an odious number, because the sum of its binary digits is odd.

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

Adding to 211212210113 its reverse (311012212112), we get a palindrome (522224422225).

The spelling of 211212210113 in words is "two hundred eleven billion, two hundred twelve million, two hundred ten thousand, one hundred thirteen".