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2431122049 is a prime number
BaseRepresentation
bin1001000011100111…
…1111101010000001
320021102120210111101
42100321333222001
514434331401144
61041123214401
7114150124246
oct22071775201
96242523441
102431122049
111038339a84
1257a217401
132c9894575
14190c415cd
15e36726d4
hex90e7fa81

2431122049 has 2 divisors, whose sum is σ = 2431122050. Its totient is φ = 2431122048.

The previous prime is 2431121969. The next prime is 2431122061. The reversal of 2431122049 is 9402211342.

2431122049 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., 1529201025 + 901921024 = 39105^2 + 30032^2 .

It is a cyclic number.

It is not a de Polignac number, because 2431122049 - 211 = 2431120001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2431122079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1215561024 + 1215561025.

It is an arithmetic number, because the mean of its divisors is an integer number (1215561025).

Almost surely, 22431122049 is an apocalyptic number.

It is an amenable number.

2431122049 is a deficient number, since it is larger than the sum of its proper divisors (1).

2431122049 is an equidigital number, since it uses as much as digits as its factorization.

2431122049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2431122049 is about 49306.4098165746. The cubic root of 2431122049 is about 1344.6283203444.

It can be divided in two parts, 24311 and 22049, that added together give a triangular number (46360 = T304).

The spelling of 2431122049 in words is "two billion, four hundred thirty-one million, one hundred twenty-two thousand, forty-nine".