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211220333017 is a prime number
BaseRepresentation
bin1100010010110110110…
…1101000000111011001
3202012012022022122210221
43010231231220013121
511430034401124032
6241011104440041
721155144131111
oct3045555500731
9665168278727
10211220333017
118163a40a4a1
1234b29319021
1316bc1a9c995
14a31a348041
155763537597
hex312db681d9

211220333017 has 2 divisors, whose sum is σ = 211220333018. Its totient is φ = 211220333016.

The previous prime is 211220332943. The next prime is 211220333047. The reversal of 211220333017 is 710333022112.

It is a happy number.

211220333017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124334517321 + 86885815696 = 352611^2 + 294764^2 .

It is a cyclic number.

It is not a de Polignac number, because 211220333017 - 27 = 211220332889 is a prime.

It is a super-2 number, since 2×2112203330172 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211220332982 and 211220333000.

It is not a weakly prime, because it can be changed into another prime (211220333047) 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, 105610166508 + 105610166509.

It is an arithmetic number, because the mean of its divisors is an integer number (105610166509).

Almost surely, 2211220333017 is an apocalyptic number.

It is an amenable number.

211220333017 is a deficient number, since it is larger than the sum of its proper divisors (1).

211220333017 is an equidigital number, since it uses as much as digits as its factorization.

211220333017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 25.

Adding to 211220333017 its reverse (710333022112), we get a palindrome (921553355129).

The spelling of 211220333017 in words is "two hundred eleven billion, two hundred twenty million, three hundred thirty-three thousand, seventeen".