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211113100313 is a prime number
BaseRepresentation
bin1100010010011101010…
…0100100010000011001
3202011220211112200012022
43010213110210100121
511424324423202223
6240552314224225
721152402513243
oct3044724442031
9664824480168
10211113100313
1181594928a25
1234ab9425075
1316ba57c608b
14a309dd3093
155758e04ac8
hex3127524419

211113100313 has 2 divisors, whose sum is σ = 211113100314. Its totient is φ = 211113100312.

The previous prime is 211113100273. The next prime is 211113100357. The reversal of 211113100313 is 313001311112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109037323264 + 102075777049 = 330208^2 + 319493^2 .

It is a cyclic number.

It is not a de Polignac number, because 211113100313 - 212 = 211113096217 is a prime.

It is a super-2 number, since 2×2111131003132 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211113100291 and 211113100300.

It is not a weakly prime, because it can be changed into another prime (211113109313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105556550156 + 105556550157.

It is an arithmetic number, because the mean of its divisors is an integer number (105556550157).

Almost surely, 2211113100313 is an apocalyptic number.

It is an amenable number.

211113100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

211113100313 is an equidigital number, since it uses as much as digits as its factorization.

211113100313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 211113100313 its reverse (313001311112), we get a palindrome (524114411425).

The spelling of 211113100313 in words is "two hundred eleven billion, one hundred thirteen million, one hundred thousand, three hundred thirteen".