Search a number
-
+
1003323200401 is a prime number
BaseRepresentation
bin11101001100110101011…
…10010001001110010001
310112220202022121111102101
432212122232101032101
5112414301214403101
62044530442120401
7132326166326644
oct16463256211621
93486668544371
101003323200401
11357563876605
1214254aab0101
13737c7911c02
14367bd941a5b
151b17339d401
hexe99ab91391

1003323200401 has 2 divisors, whose sum is σ = 1003323200402. Its totient is φ = 1003323200400.

The previous prime is 1003323200377. The next prime is 1003323200417. The reversal of 1003323200401 is 1040023233001.

1003323200401 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., 838779390801 + 164543809600 = 915849^2 + 405640^2 .

It is an emirp because it is prime and its reverse (1040023233001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1003323200401 - 239 = 453567386513 is a prime.

It is not a weakly prime, because it can be changed into another prime (1003323300401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501661600200 + 501661600201.

It is an arithmetic number, because the mean of its divisors is an integer number (501661600201).

Almost surely, 21003323200401 is an apocalyptic number.

It is an amenable number.

1003323200401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003323200401 is an equidigital number, since it uses as much as digits as its factorization.

1003323200401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1003323200401 its reverse (1040023233001), we get a palindrome (2043346433402).

The spelling of 1003323200401 in words is "one trillion, three billion, three hundred twenty-three million, two hundred thousand, four hundred one".