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2106441217 is a prime number
BaseRepresentation
bin111110110001101…
…1011111000000001
312102210122022010101
41331203123320001
513303222104332
6545004202401
7103125312016
oct17543337001
95383568111
102106441217
11991038511
124a9539401
1327753492a
1415da8570d
15c4ddaae7
hex7d8dbe01

2106441217 has 2 divisors, whose sum is σ = 2106441218. Its totient is φ = 2106441216.

The previous prime is 2106441199. The next prime is 2106441229. The reversal of 2106441217 is 7121446012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1075774401 + 1030666816 = 32799^2 + 32104^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2106441217 is a prime.

It is not a weakly prime, because it can be changed into another prime (2106441247) 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, 1053220608 + 1053220609.

It is an arithmetic number, because the mean of its divisors is an integer number (1053220609).

Almost surely, 22106441217 is an apocalyptic number.

It is an amenable number.

2106441217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2106441217 is an equidigital number, since it uses as much as digits as its factorization.

2106441217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2106441217 is about 45895.9825801780. The cubic root of 2106441217 is about 1281.8871124871.

Adding to 2106441217 its reverse (7121446012), we get a palindrome (9227887229).

The spelling of 2106441217 in words is "two billion, one hundred six million, four hundred forty-one thousand, two hundred seventeen".