Search a number
-
+
10312420431 = 317531960909
BaseRepresentation
bin10011001101010101…
…10000110001001111
3222121200122020101110
421212222300301033
5132104434423211
64423142543103
7513360061455
oct114652606117
928550566343
1010312420431
114412102115
121bb9737a93
13c84646731
146db84a9d5
15405521ea6
hex266ab0c4f

10312420431 has 8 divisors (see below), whose sum is σ = 13757744560. Its totient is φ = 6871021632.

The previous prime is 10312420399. The next prime is 10312420471. The reversal of 10312420431 is 13402421301.

10312420431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10312420431 - 25 = 10312420399 is a prime.

It is a super-2 number, since 2×103124204312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10312420398 and 10312420407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312420471) 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 7 ways as a sum of consecutive naturals, for example, 975196 + ... + 985713.

It is an arithmetic number, because the mean of its divisors is an integer number (1719718070).

Almost surely, 210312420431 is an apocalyptic number.

10312420431 is a deficient number, since it is larger than the sum of its proper divisors (3445324129).

10312420431 is a wasteful number, since it uses less digits than its factorization.

10312420431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962665.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10312420431 its reverse (13402421301), we get a palindrome (23714841732).

The spelling of 10312420431 in words is "ten billion, three hundred twelve million, four hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 1753 5259 1960909 5882727 3437473477 10312420431