Search a number
-
+
2102123017 is a prime number
BaseRepresentation
bin111110101001011…
…1101101000001001
312102111111220200001
41331102331220021
513301120414032
6544331443001
7103043515351
oct17522755011
95374456601
102102123017
11989659155
124a7bb6461
13276682297
1415d27db61
15c48363e7
hex7d4bda09

2102123017 has 2 divisors, whose sum is σ = 2102123018. Its totient is φ = 2102123016.

The previous prime is 2102123011. The next prime is 2102123027. The reversal of 2102123017 is 7103212012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1891902016 + 210221001 = 43496^2 + 14499^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2102123017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102122985 and 2102123003.

It is not a weakly prime, because it can be changed into another prime (2102123011) 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, 1051061508 + 1051061509.

It is an arithmetic number, because the mean of its divisors is an integer number (1051061509).

Almost surely, 22102123017 is an apocalyptic number.

It is an amenable number.

2102123017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102123017 is an equidigital number, since it uses as much as digits as its factorization.

2102123017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 2102123017 is about 45848.9151125738. The cubic root of 2102123017 is about 1281.0105579539.

Adding to 2102123017 its reverse (7103212012), we get a palindrome (9205335029).

The spelling of 2102123017 in words is "two billion, one hundred two million, one hundred twenty-three thousand, seventeen".