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2431314029 is a prime number
BaseRepresentation
bin1001000011101010…
…1110100001101101
320021102221112211202
42100322232201231
514434404022104
61041131255245
7114151554044
oct22072564155
96242845752
102431314029
111038460241
1257a2aa525
132c9930a71
14190c9155b
15e36ae51e
hex90eae86d

2431314029 has 2 divisors, whose sum is σ = 2431314030. Its totient is φ = 2431314028.

The previous prime is 2431313999. The next prime is 2431314037. The reversal of 2431314029 is 9204131342.

2431314029 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., 2259100900 + 172213129 = 47530^2 + 13123^2 .

It is a cyclic number.

It is not a de Polignac number, because 2431314029 - 228 = 2162878573 is a prime.

It is a super-2 number, since 2×24313140292 = 11822575815224425682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2431313992 and 2431314010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2431314049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1215657014 + 1215657015.

It is an arithmetic number, because the mean of its divisors is an integer number (1215657015).

Almost surely, 22431314029 is an apocalyptic number.

It is an amenable number.

2431314029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2431314029 is an equidigital number, since it uses as much as digits as its factorization.

2431314029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 2431314029 is about 49308.3565838489. The cubic root of 2431314029 is about 1344.6637134599.

The spelling of 2431314029 in words is "two billion, four hundred thirty-one million, three hundred fourteen thousand, twenty-nine".