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13363502249 is a prime number
BaseRepresentation
bin11000111001000011…
…01101110010101001
31021111022210020210202
430130201231302221
5204332024032444
610050014121545
7652105615646
oct143441556251
937438706722
1013363502249
115738392039
12270b4b02b5
13134c7a48a6
1490ab4cdcd
1553330634e
hex31c86dca9

13363502249 has 2 divisors, whose sum is σ = 13363502250. Its totient is φ = 13363502248.

The previous prime is 13363502213. The next prime is 13363502263. The reversal of 13363502249 is 94220536331.

13363502249 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., 13196265625 + 167236624 = 114875^2 + 12932^2 .

It is a cyclic number.

It is not a de Polignac number, because 13363502249 - 220 = 13362453673 is a prime.

It is not a weakly prime, because it can be changed into another prime (13363505249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6681751124 + 6681751125.

It is an arithmetic number, because the mean of its divisors is an integer number (6681751125).

Almost surely, 213363502249 is an apocalyptic number.

It is an amenable number.

13363502249 is a deficient number, since it is larger than the sum of its proper divisors (1).

13363502249 is an equidigital number, since it uses as much as digits as its factorization.

13363502249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 38.

The spelling of 13363502249 in words is "thirteen billion, three hundred sixty-three million, five hundred two thousand, two hundred forty-nine".