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2124031181 is a prime number
BaseRepresentation
bin111111010011010…
…0010010011001101
312111000201222000112
41332212202103031
513322222444211
6550433205405
7103430652506
oct17646422315
95430658015
102124031181
1199aa62078
124b3400865
1327b0830ac
14162143bad
15c671288b
hex7e9a24cd

2124031181 has 2 divisors, whose sum is σ = 2124031182. Its totient is φ = 2124031180.

The previous prime is 2124031099. The next prime is 2124031183. The reversal of 2124031181 is 1811304212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2105892100 + 18139081 = 45890^2 + 4259^2 .

It is a cyclic number.

It is not a de Polignac number, because 2124031181 - 222 = 2119836877 is a prime.

It is a super-2 number, since 2×21240311812 = 9023016915720509522, which contains 22 as substring.

Together with 2124031183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2124031183) 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, 1062015590 + 1062015591.

It is an arithmetic number, because the mean of its divisors is an integer number (1062015591).

Almost surely, 22124031181 is an apocalyptic number.

It is an amenable number.

2124031181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2124031181 is an equidigital number, since it uses as much as digits as its factorization.

2124031181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 2124031181 is about 46087.2127710062. The cubic root of 2124031181 is about 1285.4453847305.

Adding to 2124031181 its reverse (1811304212), we get a palindrome (3935335393).

It can be divided in two parts, 2124031 and 181, that added together give a palindrome (2124212).

The spelling of 2124031181 in words is "two billion, one hundred twenty-four million, thirty-one thousand, one hundred eighty-one".