Search a number
-
+
10310211301 = 131496917703
BaseRepresentation
bin10011001101000100…
…10101011011100101
3222121112111000000211
421212202111123211
5132103403230201
64423023335421
7513332231035
oct114642253345
928545430024
1010310211301
114410933395
121bb8a51571
13c84052060
146db4338c5
15405237651
hex2668956e5

10310211301 has 16 divisors (see below), whose sum is σ = 11195452800. Its totient is φ = 9438338880.

The previous prime is 10310211271. The next prime is 10310211313. The reversal of 10310211301 is 10311201301.

10310211301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10310211301 - 215 = 10310178533 is a prime.

It is a super-2 number, since 2×103102113012 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10310212301) 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 in 15 ways as a sum of consecutive naturals, for example, 1334616 + ... + 1342318.

It is an arithmetic number, because the mean of its divisors is an integer number (699715800).

Almost surely, 210310211301 is an apocalyptic number.

It is an amenable number.

10310211301 is a deficient number, since it is larger than the sum of its proper divisors (885241499).

10310211301 is a wasteful number, since it uses less digits than its factorization.

10310211301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8556.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10310211301 its reverse (10311201301), we get a palindrome (20621412602).

The spelling of 10310211301 in words is "ten billion, three hundred ten million, two hundred eleven thousand, three hundred one".

Divisors: 1 13 149 691 1937 7703 8983 100139 102959 1147747 1338467 5322773 14920711 69196049 793093177 10310211301