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2212313141 is a prime number
BaseRepresentation
bin1000001111011101…
…0011100000110101
312201011212011002202
42003313103200311
514012323010031
61003305314245
7105552231353
oct20367234065
95634764082
102212313141
11a3587a675
12518a95985
1329345303c
1416db647d3
15ce3502cb
hex83dd3835

2212313141 has 2 divisors, whose sum is σ = 2212313142. Its totient is φ = 2212313140.

The previous prime is 2212313119. The next prime is 2212313153. The reversal of 2212313141 is 1413132122.

2212313141 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., 1231308100 + 981005041 = 35090^2 + 31321^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212313141 - 226 = 2145204277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212313161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106156570 + 1106156571.

It is an arithmetic number, because the mean of its divisors is an integer number (1106156571).

Almost surely, 22212313141 is an apocalyptic number.

It is an amenable number.

2212313141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212313141 is an equidigital number, since it uses as much as digits as its factorization.

2212313141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 20.

The square root of 2212313141 is about 47035.2329748668. The cubic root of 2212313141 is about 1303.0133531516.

Adding to 2212313141 its reverse (1413132122), we get a palindrome (3625445263).

The spelling of 2212313141 in words is "two billion, two hundred twelve million, three hundred thirteen thousand, one hundred forty-one".