Search a number
-
+
13202156309 is a prime number
BaseRepresentation
bin11000100101110100…
…01110101100010101
31021002002012000210012
430102322032230111
5204014223000214
610022012010005
7645106322426
oct142272165425
937062160705
1013202156309
115665300491
122685460905
131325232614
148d354d64d
1552408503e
hex312e8eb15

13202156309 has 2 divisors, whose sum is σ = 13202156310. Its totient is φ = 13202156308.

The previous prime is 13202156287. The next prime is 13202156323. The reversal of 13202156309 is 90365120231.

13202156309 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., 11614372900 + 1587783409 = 107770^2 + 39847^2 .

It is a cyclic number.

It is not a de Polignac number, because 13202156309 - 216 = 13202090773 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13202156329) 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, 6601078154 + 6601078155.

It is an arithmetic number, because the mean of its divisors is an integer number (6601078155).

Almost surely, 213202156309 is an apocalyptic number.

It is an amenable number.

13202156309 is a deficient number, since it is larger than the sum of its proper divisors (1).

13202156309 is an equidigital number, since it uses as much as digits as its factorization.

13202156309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 32.

The spelling of 13202156309 in words is "thirteen billion, two hundred two million, one hundred fifty-six thousand, three hundred nine".