Search a number
-
+
2114306321 is a prime number
BaseRepresentation
bin111111000000101…
…1100000100010001
312110100102220000112
41332001130010101
513312230300241
6545444531105
7103252210241
oct17601340421
95410386015
102114306321
1199551a6a6
124b00b0a95
1327905983a
14160b31b21
15c59411eb
hex7e05c111

2114306321 has 2 divisors, whose sum is σ = 2114306322. Its totient is φ = 2114306320.

The previous prime is 2114306317. The next prime is 2114306323. The reversal of 2114306321 is 1236034112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1944369025 + 169937296 = 44095^2 + 13036^2 .

It is a cyclic number.

It is not a de Polignac number, because 2114306321 - 22 = 2114306317 is a prime.

Together with 2114306323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2114306323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1057153160 + 1057153161.

It is an arithmetic number, because the mean of its divisors is an integer number (1057153161).

Almost surely, 22114306321 is an apocalyptic number.

It is an amenable number.

2114306321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114306321 is an equidigital number, since it uses as much as digits as its factorization.

2114306321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2114306321 is about 45981.5867603544. The cubic root of 2114306321 is about 1283.4805825456.

The spelling of 2114306321 in words is "two billion, one hundred fourteen million, three hundred six thousand, three hundred twenty-one".