Search a number
-
+
10243433331 = 3229531913877
BaseRepresentation
bin10011000101000111…
…00110001101110011
3222102212211022212200
421202203212031303
5131434304331311
64412240154243
7511561514055
oct114243461563
928385738780
1010243433331
11438717308a
121b9a608983
13c73270c71
146d260d8d5
153ee446556
hex2628e6373

10243433331 has 48 divisors (see below), whose sum is σ = 15680770560. Its totient is φ = 6433539840.

The previous prime is 10243433329. The next prime is 10243433359. The reversal of 10243433331 is 13333434201.

10243433331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10243433331 - 21 = 10243433329 is a prime.

It is a super-2 number, since 2×102434333312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10243433295 and 10243433304.

It is not an unprimeable number, because it can be changed into a prime (10243433371) 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 47 ways as a sum of consecutive naturals, for example, 2640165 + ... + 2644041.

It is an arithmetic number, because the mean of its divisors is an integer number (326682720).

Almost surely, 210243433331 is an apocalyptic number.

10243433331 is a deficient number, since it is larger than the sum of its proper divisors (5437337229).

10243433331 is a wasteful number, since it uses less digits than its factorization.

10243433331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10243433331 its reverse (13333434201), we get a palindrome (23576867532).

The spelling of 10243433331 in words is "ten billion, two hundred forty-three million, four hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 29 53 87 159 191 261 477 573 1537 1719 3877 4611 5539 10123 11631 13833 16617 30369 34893 49851 91107 112433 205481 293567 337299 616443 740507 880701 1011897 1849329 2221521 2642103 5958949 6664563 17876847 21474703 39246871 53630541 64424109 117740613 193272327 353221839 1138159259 3414477777 10243433331