Search a number
-
+
2100225241 is a prime number
BaseRepresentation
bin111110100101110…
…1110010011011001
312102100221111102001
41331023232103121
513300124201431
6544223041001
7103021422442
oct17513562331
95370844361
102100225241
11988582344
124a7440161
1327616953a
1415cd082c9
15c45ade61
hex7d2ee4d9

2100225241 has 2 divisors, whose sum is σ = 2100225242. Its totient is φ = 2100225240.

The previous prime is 2100225229. The next prime is 2100225247. The reversal of 2100225241 is 1425220012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1090320400 + 1009904841 = 33020^2 + 31779^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100225241 - 215 = 2100192473 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100225247) 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, 1050112620 + 1050112621.

It is an arithmetic number, because the mean of its divisors is an integer number (1050112621).

Almost surely, 22100225241 is an apocalyptic number.

It is an amenable number.

2100225241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100225241 is an equidigital number, since it uses as much as digits as its factorization.

2100225241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2100225241 is about 45828.2144644541. The cubic root of 2100225241 is about 1280.6249473081.

Adding to 2100225241 its reverse (1425220012), we get a palindrome (3525445253).

The spelling of 2100225241 in words is "two billion, one hundred million, two hundred twenty-five thousand, two hundred forty-one".