Search a number
-
+
2114108021 is a prime number
BaseRepresentation
bin111111000000010…
…1011101001110101
312110100001211000002
41332000223221311
513312202424041
6545440401045
7103250423144
oct17600535165
95410054002
102114108021
119953a4713
124b0016185
13278cba4bc
14160abd75b
15c590259b
hex7e02ba75

2114108021 has 2 divisors, whose sum is σ = 2114108022. Its totient is φ = 2114108020.

The previous prime is 2114107909. The next prime is 2114108041. The reversal of 2114108021 is 1208014112.

It is an a-pointer prime, because the next prime (2114108041) can be obtained adding 2114108021 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1593127396 + 520980625 = 39914^2 + 22825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2114108021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2114107984 and 2114108002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2114108041) 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, 1057054010 + 1057054011.

It is an arithmetic number, because the mean of its divisors is an integer number (1057054011).

Almost surely, 22114108021 is an apocalyptic number.

It is an amenable number.

2114108021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114108021 is an equidigital number, since it uses as much as digits as its factorization.

2114108021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 2114108021 is about 45979.4304118700. The cubic root of 2114108021 is about 1283.4404555696.

The spelling of 2114108021 in words is "two billion, one hundred fourteen million, one hundred eight thousand, twenty-one".