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2121110317 is a prime number
BaseRepresentation
bin111111001101101…
…1001001100101101
312110211020120100101
41332123121030231
513321001012232
6550250431101
7103364066044
oct17633311455
95424216311
102121110317
11999347637
124b2432491
1327a59c781
141619c355b
15c63371e7
hex7e6d932d

2121110317 has 2 divisors, whose sum is σ = 2121110318. Its totient is φ = 2121110316.

The previous prime is 2121110293. The next prime is 2121110339. The reversal of 2121110317 is 7130111212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1970827236 + 150283081 = 44394^2 + 12259^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2121110317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121110294 and 2121110303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121140317) 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, 1060555158 + 1060555159.

It is an arithmetic number, because the mean of its divisors is an integer number (1060555159).

Almost surely, 22121110317 is an apocalyptic number.

It is an amenable number.

2121110317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121110317 is an equidigital number, since it uses as much as digits as its factorization.

2121110317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 2121110317 is about 46055.5134267332. The cubic root of 2121110317 is about 1284.8558871828.

Adding to 2121110317 its reverse (7130111212), we get a palindrome (9251221529).

The spelling of 2121110317 in words is "two billion, one hundred twenty-one million, one hundred ten thousand, three hundred seventeen".