Search a number
-
+
1010000011021 is a prime number
BaseRepresentation
bin11101011001010001011…
…00010001111100001101
310120112222122012121201121
432230220230101330031
5113021440000323041
62051553153240541
7132653512305061
oct16545054217415
93515878177647
101010000011021
1135a37a748211
121438b2b63151
137431cc8b021
1436c545adaa1
151b4146277d1
hexeb28b11f0d

1010000011021 has 2 divisors, whose sum is σ = 1010000011022. Its totient is φ = 1010000011020.

The previous prime is 1010000011019. The next prime is 1010000011117. The reversal of 1010000011021 is 1201100000101.

1010000011021 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., 638648714025 + 371351296996 = 799155^2 + 609386^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010000011021 - 21 = 1010000011019 is a prime.

Together with 1010000011019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1010000010995 and 1010000011013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010000014021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505000005510 + 505000005511.

It is an arithmetic number, because the mean of its divisors is an integer number (505000005511).

Almost surely, 21010000011021 is an apocalyptic number.

It is an amenable number.

1010000011021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010000011021 is an equidigital number, since it uses as much as digits as its factorization.

1010000011021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1010000011021 its reverse (1201100000101), we get a palindrome (2211100011122).

The spelling of 1010000011021 in words is "one trillion, ten billion, eleven thousand, twenty-one".