Search a number
-
+
1011010000997 is a prime number
BaseRepresentation
bin11101011011001001110…
…01000101100001100101
310120122121000200102111202
432231210321011201211
5113031022030012442
62052241313012245
7133020525134213
oct16554471054145
93518530612452
101011010000997
1135a848874677
12143b35254085
13744512b5329
1436d0c79bcb3
151b47312dc32
hexeb64e45865

1011010000997 has 2 divisors, whose sum is σ = 1011010000998. Its totient is φ = 1011010000996.

The previous prime is 1011010000991. The next prime is 1011010001017. The reversal of 1011010000997 is 7990000101101.

1011010000997 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 can be written as a sum of positive squares in only one way, i.e., 889124528356 + 121885472641 = 942934^2 + 349121^2 .

It is an emirp because it is prime and its reverse (7990000101101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011010000997 - 230 = 1009936259173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011010000991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505505000498 + 505505000499.

It is an arithmetic number, because the mean of its divisors is an integer number (505505000499).

Almost surely, 21011010000997 is an apocalyptic number.

It is an amenable number.

1011010000997 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011010000997 is an equidigital number, since it uses as much as digits as its factorization.

1011010000997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 29.

The spelling of 1011010000997 in words is "one trillion, eleven billion, ten million, nine hundred ninety-seven", and thus it is an aban number.