Search a number
-
+
2201331149 is a prime number
BaseRepresentation
bin1000001100110101…
…1010010111001101
312200102012012122022
42003031122113031
514002020044044
61002234055525
7105360002033
oct20315322715
95612165568
102201331149
11a2a659746
1251527a5a5
132910a9514
1416c506553
15cd3d13ee
hex8335a5cd

2201331149 has 2 divisors, whose sum is σ = 2201331150. Its totient is φ = 2201331148.

The previous prime is 2201331131. The next prime is 2201331157. The reversal of 2201331149 is 9411331022.

2201331149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1334440900 + 866890249 = 36530^2 + 29443^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201331149 - 216 = 2201265613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201321149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100665574 + 1100665575.

It is an arithmetic number, because the mean of its divisors is an integer number (1100665575).

Almost surely, 22201331149 is an apocalyptic number.

It is an amenable number.

2201331149 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201331149 is an equidigital number, since it uses as much as digits as its factorization.

2201331149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 2201331149 is about 46918.3455484100. The cubic root of 2201331149 is about 1300.8537092666.

The spelling of 2201331149 in words is "two billion, two hundred one million, three hundred thirty-one thousand, one hundred forty-nine".