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13037985823 is a prime number
BaseRepresentation
bin11000010010001111…
…11110000000011111
31020122122021022012211
430021013332000133
5203200211021243
65553425141251
7641044023322
oct141107760037
936578238184
1013037985823
11559066a7a5
12263a48a827
1312ca211815
148b98167b9
15514956d9d
hex3091fe01f

13037985823 has 2 divisors, whose sum is σ = 13037985824. Its totient is φ = 13037985822.

The previous prime is 13037985799. The next prime is 13037985871. The reversal of 13037985823 is 32858973031.

13037985823 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (32858973031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13037985823 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13037986823) 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, 6518992911 + 6518992912.

It is an arithmetic number, because the mean of its divisors is an integer number (6518992912).

Almost surely, 213037985823 is an apocalyptic number.

13037985823 is a deficient number, since it is larger than the sum of its proper divisors (1).

13037985823 is an equidigital number, since it uses as much as digits as its factorization.

13037985823 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 13037985823 in words is "thirteen billion, thirty-seven million, nine hundred eighty-five thousand, eight hundred twenty-three".