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15820800013 is a prime number
BaseRepresentation
bin11101011101111111…
…00100000000001101
31111211120121220122001
432232333210000031
5224400111100023
611133514352301
71100024403244
oct165677440015
944746556561
1015820800013
11678947a237
12309642b691
131651902535
14aa124595b
15628de96ad
hex3aefe400d

15820800013 has 2 divisors, whose sum is σ = 15820800014. Its totient is φ = 15820800012.

The previous prime is 15820799959. The next prime is 15820800029. The reversal of 15820800013 is 31000802851.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15555826729 + 264973284 = 124723^2 + 16278^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-15820800013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (15820800713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7910400006 + 7910400007.

It is an arithmetic number, because the mean of its divisors is an integer number (7910400007).

Almost surely, 215820800013 is an apocalyptic number.

It is an amenable number.

15820800013 is a deficient number, since it is larger than the sum of its proper divisors (1).

15820800013 is an equidigital number, since it uses as much as digits as its factorization.

15820800013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 15820800013 in words is "fifteen billion, eight hundred twenty million, eight hundred thousand, thirteen".