Search a number
-
+
2213220131 is a prime number
BaseRepresentation
bin1000001111101011…
…0000111100100011
312201020120020020222
42003322300330203
514013041021011
61003340553255
7105563026553
oct20372607443
95636506228
102213220131
11a3633a051
1251925282b
132936acb15
1416dd1d163
15ce47dddb
hex83eb0f23

2213220131 has 2 divisors, whose sum is σ = 2213220132. Its totient is φ = 2213220130.

The previous prime is 2213220109. The next prime is 2213220151. The reversal of 2213220131 is 1310223122.

2213220131 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 is a cyclic number.

It is not a de Polignac number, because 2213220131 - 226 = 2146111267 is a prime.

It is a super-3 number, since 3×22132201313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2213220151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106610065 + 1106610066.

It is an arithmetic number, because the mean of its divisors is an integer number (1106610066).

Almost surely, 22213220131 is an apocalyptic number.

2213220131 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213220131 is an equidigital number, since it uses as much as digits as its factorization.

2213220131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2213220131 is about 47044.8735889470. The cubic root of 2213220131 is about 1303.1913958514.

Adding to 2213220131 its reverse (1310223122), we get a palindrome (3523443253).

The spelling of 2213220131 in words is "two billion, two hundred thirteen million, two hundred twenty thousand, one hundred thirty-one".