Search a number
-
+
13120305637 is a prime number
BaseRepresentation
bin11000011100000011…
…11111100111100101
31020212101011120202211
430032001333213211
5203332244240022
610005525403421
7643063520635
oct141601774745
936771146684
1013120305637
1156230858aa
122661b69571
1313112a4a7a
148c67246c5
1551bcb7e77
hex30e07f9e5

13120305637 has 2 divisors, whose sum is σ = 13120305638. Its totient is φ = 13120305636.

The previous prime is 13120305629. The next prime is 13120305643. The reversal of 13120305637 is 73650302131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12630612996 + 489692641 = 112386^2 + 22129^2 .

It is a cyclic number.

It is not a de Polignac number, because 13120305637 - 23 = 13120305629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13120305599 and 13120305608.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13120305647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560152818 + 6560152819.

It is an arithmetic number, because the mean of its divisors is an integer number (6560152819).

Almost surely, 213120305637 is an apocalyptic number.

It is an amenable number.

13120305637 is a deficient number, since it is larger than the sum of its proper divisors (1).

13120305637 is an equidigital number, since it uses as much as digits as its factorization.

13120305637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 31.

Adding to 13120305637 its reverse (73650302131), we get a palindrome (86770607768).

The spelling of 13120305637 in words is "thirteen billion, one hundred twenty million, three hundred five thousand, six hundred thirty-seven".