Search a number
-
+
10001230313 is a prime number
BaseRepresentation
bin10010101000001111…
…01010100111101001
3221211000002010210112
421110013222213221
5130440303332223
64332225024105
7502561024604
oct112407524751
927730063715
1010001230313
1142724853a8
121b31485035
13c3502b479
146ac3a333b
153d8052778
hex2541ea9e9

10001230313 has 2 divisors, whose sum is σ = 10001230314. Its totient is φ = 10001230312.

The previous prime is 10001230307. The next prime is 10001230357. The reversal of 10001230313 is 31303210001.

10001230313 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., 8845026304 + 1156204009 = 94048^2 + 34003^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001230313 - 222 = 9997036009 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001230913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000615156 + 5000615157.

It is an arithmetic number, because the mean of its divisors is an integer number (5000615157).

Almost surely, 210001230313 is an apocalyptic number.

It is an amenable number.

10001230313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001230313 is an equidigital number, since it uses as much as digits as its factorization.

10001230313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10001230313 its reverse (31303210001), we get a palindrome (41304440314).

The spelling of 10001230313 in words is "ten billion, one million, two hundred thirty thousand, three hundred thirteen".