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1000303330121 is a prime number
BaseRepresentation
bin11101000111001101011…
…10011000001101001001
310112121221212012012011222
432203212232120031021
5112342110123030441
62043311043531425
7132161310005264
oct16434656301511
93477855165158
101000303330121
11356254174347
12141a47689b75
1373436091314
14365b4845cdb
151b0481d1d4b
hexe8e6b98349

1000303330121 has 2 divisors, whose sum is σ = 1000303330122. Its totient is φ = 1000303330120.

The previous prime is 1000303330099. The next prime is 1000303330123. The reversal of 1000303330121 is 1210333030001.

1000303330121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 936658131721 + 63645198400 = 967811^2 + 252280^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000303330121 is a prime.

Together with 1000303330123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000303330121.

It is not a weakly prime, because it can be changed into another prime (1000303330123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500151665060 + 500151665061.

It is an arithmetic number, because the mean of its divisors is an integer number (500151665061).

Almost surely, 21000303330121 is an apocalyptic number.

It is an amenable number.

1000303330121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000303330121 is an equidigital number, since it uses as much as digits as its factorization.

1000303330121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 1000303330121 its reverse (1210333030001), we get a palindrome (2210636360122).

The spelling of 1000303330121 in words is "one trillion, three hundred three million, three hundred thirty thousand, one hundred twenty-one".