Search a number
-
+
1000230132313 is a prime number
BaseRepresentation
bin11101000111000100101…
…11001001101001011001
310112121202202110100200001
432203202113021221121
5112341432403213223
62043255511013001
7132156430562506
oct16434227115131
93477682410601
101000230132313
11356216919795
12141a2706a161
1373423b730c9
14365a8c304ad
151b041a739ad
hexe8e25c9a59

1000230132313 has 2 divisors, whose sum is σ = 1000230132314. Its totient is φ = 1000230132312.

The previous prime is 1000230132311. The next prime is 1000230132361. The reversal of 1000230132313 is 3132310320001.

1000230132313 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., 865649742409 + 134580389904 = 930403^2 + 366852^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000230132313 - 21 = 1000230132311 is a prime.

Together with 1000230132311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1000230132311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500115066156 + 500115066157.

It is an arithmetic number, because the mean of its divisors is an integer number (500115066157).

Almost surely, 21000230132313 is an apocalyptic number.

It is an amenable number.

1000230132313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000230132313 is an equidigital number, since it uses as much as digits as its factorization.

1000230132313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1000230132313 its reverse (3132310320001), we get a palindrome (4132540452314).

The spelling of 1000230132313 in words is "one trillion, two hundred thirty million, one hundred thirty-two thousand, three hundred thirteen".