Search a number
-
+
1330021212 = 2231323671787
BaseRepresentation
bin100111101000110…
…1000001101011100
310102200200002002220
41033101220031130
510210441134322
6335550545340
744646664602
oct11721501534
93380602086
101330021212
11622842693
12311508250
13182719800
14c88d7872
157bb7055c
hex4f46835c

1330021212 has 72 divisors (see below), whose sum is σ = 3371510016. Its totient is φ = 407893824.

The previous prime is 1330021193. The next prime is 1330021213. The reversal of 1330021212 is 2121200331.

It is a junction number, because it is equal to n+sod(n) for n = 1330021191 and 1330021200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330021213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743383 + ... + 745169.

It is an arithmetic number, because the mean of its divisors is an integer number (46826528).

Almost surely, 21330021212 is an apocalyptic number.

1330021212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685755008).

1330021212 is an abundant number, since it is smaller than the sum of its proper divisors (2041488804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1330021212 is a wasteful number, since it uses less digits than its factorization.

1330021212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1330021212 is about 36469.4558774874. The cubic root of 1330021212 is about 1099.7302953101.

Adding to 1330021212 its reverse (2121200331), we get a palindrome (3451221543).

The spelling of 1330021212 in words is "one billion, three hundred thirty million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 367 507 676 734 1014 1101 1468 1787 2028 2202 3574 4404 4771 5361 7148 9542 10722 14313 19084 21444 23231 28626 46462 57252 62023 69693 92924 124046 139386 186069 248092 278772 302003 372138 604006 655829 744276 906009 1208012 1311658 1812018 1967487 2623316 3624036 3934974 7869948 8525777 17051554 25577331 34103108 51154662 102309324 110835101 221670202 332505303 443340404 665010606 1330021212