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1821314565073 is a prime number
BaseRepresentation
bin11010100000001110110…
…011101100001111010001
320110010010112200020222201
4122200032303230033101
5214320023012040243
63512411140003201
7245404605240133
oct32401663541721
96403115606881
101821314565073
11642462654923
12254b96690501
131029980874a3
146421b4c7053
153259ade004d
hex1a80ecec3d1

1821314565073 has 2 divisors, whose sum is σ = 1821314565074. Its totient is φ = 1821314565072.

The previous prime is 1821314565053. The next prime is 1821314565131. The reversal of 1821314565073 is 3705654131281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1361158555969 + 460156009104 = 1166687^2 + 678348^2 .

It is a cyclic number.

It is not a de Polignac number, because 1821314565073 - 29 = 1821314564561 is a prime.

It is not a weakly prime, because it can be changed into another prime (1821314565053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 910657282536 + 910657282537.

It is an arithmetic number, because the mean of its divisors is an integer number (910657282537).

Almost surely, 21821314565073 is an apocalyptic number.

It is an amenable number.

1821314565073 is a deficient number, since it is larger than the sum of its proper divisors (1).

1821314565073 is an equidigital number, since it uses as much as digits as its factorization.

1821314565073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 1821314565073 in words is "one trillion, eight hundred twenty-one billion, three hundred fourteen million, five hundred sixty-five thousand, seventy-three".