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13042132049 is a prime number
BaseRepresentation
bin11000010010101111…
…10010010001010001
31020122221001221202202
430021113302101101
5203202241211144
65554054052545
7641124202412
oct141127622121
936587057682
1013042132049
115592a41931
12263b94a155
1312cb033acb
148ba1b5809
15514ec564e
hex3095f2451

13042132049 has 2 divisors, whose sum is σ = 13042132050. Its totient is φ = 13042132048.

The previous prime is 13042132027. The next prime is 13042132069. The reversal of 13042132049 is 94023124031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12864096400 + 178035649 = 113420^2 + 13343^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13042132049 is a prime.

It is not a weakly prime, because it can be changed into another prime (13042132069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6521066024 + 6521066025.

It is an arithmetic number, because the mean of its divisors is an integer number (6521066025).

Almost surely, 213042132049 is an apocalyptic number.

It is an amenable number.

13042132049 is a deficient number, since it is larger than the sum of its proper divisors (1).

13042132049 is an equidigital number, since it uses as much as digits as its factorization.

13042132049 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 13042132049 in words is "thirteen billion, forty-two million, one hundred thirty-two thousand, forty-nine".