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211313331121 is a prime number
BaseRepresentation
bin1100010011001101000…
…0011000101110110001
3202012102210022110020011
43010303100120232301
511430232203043441
6241024230014521
721160353451444
oct3046320305661
9665383273204
10211313331121
1181687959332
1234b544a7441
1316c08131449
14a32883565b
15576b7a7581
hex3133418bb1

211313331121 has 2 divisors, whose sum is σ = 211313331122. Its totient is φ = 211313331120.

The previous prime is 211313331101. The next prime is 211313331143. The reversal of 211313331121 is 121133313112.

It is an a-pointer prime, because the next prime (211313331143) can be obtained adding 211313331121 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196687815025 + 14625516096 = 443495^2 + 120936^2 .

It is a cyclic number.

It is not a de Polignac number, because 211313331121 - 29 = 211313330609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211313331092 and 211313331101.

It is not a weakly prime, because it can be changed into another prime (211313331101) 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, 105656665560 + 105656665561.

It is an arithmetic number, because the mean of its divisors is an integer number (105656665561).

Almost surely, 2211313331121 is an apocalyptic number.

It is an amenable number.

211313331121 is a deficient number, since it is larger than the sum of its proper divisors (1).

211313331121 is an equidigital number, since it uses as much as digits as its factorization.

211313331121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 22.

Adding to 211313331121 its reverse (121133313112), we get a palindrome (332446644233).

The spelling of 211313331121 in words is "two hundred eleven billion, three hundred thirteen million, three hundred thirty-one thousand, one hundred twenty-one".