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2117384653 is a prime number
BaseRepresentation
bin111111000110100…
…1011100111001101
312110120020021200211
41332031023213031
513314022302103
6550034522421
7103320321046
oct17615134715
95416207624
102117384653
1199723247a
124b1136411
13279896a37
141612d38cd
15c5d4d36d
hex7e34b9cd

2117384653 has 2 divisors, whose sum is σ = 2117384654. Its totient is φ = 2117384652.

The previous prime is 2117384651. The next prime is 2117384657. The reversal of 2117384653 is 3564837112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1832011204 + 285373449 = 42802^2 + 16893^2 .

It is a cyclic number.

It is not a de Polignac number, because 2117384653 - 21 = 2117384651 is a prime.

Together with 2117384651, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2117384651) 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, 1058692326 + 1058692327.

It is an arithmetic number, because the mean of its divisors is an integer number (1058692327).

Almost surely, 22117384653 is an apocalyptic number.

It is an amenable number.

2117384653 is a deficient number, since it is larger than the sum of its proper divisors (1).

2117384653 is an equidigital number, since it uses as much as digits as its factorization.

2117384653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 40.

The square root of 2117384653 is about 46015.0481147200. The cubic root of 2117384653 is about 1284.1031765658.

The spelling of 2117384653 in words is "two billion, one hundred seventeen million, three hundred eighty-four thousand, six hundred fifty-three".