Search a number
-
+
13032031012009 is a prime number
BaseRepresentation
bin1011110110100100000110…
…0101000100010010101001
31201010211221122111112100121
42331221001211010102221
53202004044414341014
643414455444203241
72513350606614142
oct275510145042251
951124848445317
1013032031012009
114174942842149
121565840999521
13736bb8a65369
14330a7a0bcac9
15178ed674c124
hexbda419444a9

13032031012009 has 2 divisors, whose sum is σ = 13032031012010. Its totient is φ = 13032031012008.

The previous prime is 13032031011971. The next prime is 13032031012031. The reversal of 13032031012009 is 90021013023031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10127637936025 + 2904393075984 = 3182395^2 + 1704228^2 .

It is an emirp because it is prime and its reverse (90021013023031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13032031012009 is a prime.

It is not a weakly prime, because it can be changed into another prime (13032031013009) 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, 6516015506004 + 6516015506005.

It is an arithmetic number, because the mean of its divisors is an integer number (6516015506005).

Almost surely, 213032031012009 is an apocalyptic number.

It is an amenable number.

13032031012009 is a deficient number, since it is larger than the sum of its proper divisors (1).

13032031012009 is an equidigital number, since it uses as much as digits as its factorization.

13032031012009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 13032031012009 in words is "thirteen trillion, thirty-two billion, thirty-one million, twelve thousand, nine".