Search a number
-
+
1330013223 = 337211591549
BaseRepresentation
bin100111101000110…
…0110010000100111
310102200122200011000
41033101212100213
510210440410343
6335550444343
744646632400
oct11721462047
93380580130
101330013223
11622837690
123115036b3
13182715c96
14c88d49a7
157bb6ced3
hex4f466427

1330013223 has 96 divisors (see below), whose sum is σ = 2544480000. Its totient is φ = 678767040.

The previous prime is 1330013197. The next prime is 1330013239. The reversal of 1330013223 is 3223100331.

It is not a de Polignac number, because 1330013223 - 216 = 1329947687 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1330013196 and 1330013205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330014223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 857853 + ... + 859401.

It is an arithmetic number, because the mean of its divisors is an integer number (26505000).

Almost surely, 21330013223 is an apocalyptic number.

1330013223 is a deficient number, since it is larger than the sum of its proper divisors (1214466777).

1330013223 is a wasteful number, since it uses less digits than its factorization.

1330013223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1330013223 is about 36469.3463473093. The cubic root of 1330013223 is about 1099.7280933996.

Adding to 1330013223 its reverse (3223100331), we get a palindrome (4553113554).

The spelling of 1330013223 in words is "one billion, three hundred thirty million, thirteen thousand, two hundred twenty-three".

Divisors: 1 3 7 9 11 21 27 33 49 59 63 77 99 147 177 189 231 297 413 441 531 539 649 693 1239 1323 1549 1593 1617 1947 2079 2891 3717 4543 4647 4851 5841 8673 10843 11151 13629 13941 14553 17039 17523 26019 31801 32529 40887 41823 51117 75901 78057 91391 95403 97587 119273 122661 153351 227703 274173 286209 292761 357819 460053 639737 683109 822519 834911 858627 1005301 1073457 1919211 2049327 2467557 2504733 3015903 3220371 4478159 5757633 7037107 7514199 9047709 13434477 17272899 21111321 22542597 27143127 40303431 49259749 63333963 120910293 147779247 190001889 443337741 1330013223