Search a number
-
+
1332112221 = 3211373591013
BaseRepresentation
bin100111101100110…
…0110101101011101
310102211121022102200
41033121212231131
510212010042341
6340103442113
745003524046
oct11731465535
93384538380
101332112221
11623a406a0
12312156339
13182c9c4ab
14c8cbd8cd
157be34db6
hex4f666b5d

1332112221 has 48 divisors (see below), whose sum is σ = 2163957120. Its totient is φ = 782559360.

The previous prime is 1332112219. The next prime is 1332112237. The reversal of 1332112221 is 1222112331.

1332112221 is a `hidden beast` number, since 1 + 332 + 112 + 221 = 666.

It is not a de Polignac number, because 1332112221 - 21 = 1332112219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1332112194 and 1332112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332112241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1314511 + ... + 1315523.

It is an arithmetic number, because the mean of its divisors is an integer number (45082440).

Almost surely, 21332112221 is an apocalyptic number.

1332112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1332112221 is a deficient number, since it is larger than the sum of its proper divisors (831844899).

1332112221 is a wasteful number, since it uses less digits than its factorization.

1332112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1423 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1332112221 is about 36498.1125676383. The cubic root of 1332112221 is about 1100.3063116647.

Adding to 1332112221 its reverse (1222112331), we get a palindrome (2554224552).

The spelling of 1332112221 in words is "one billion, three hundred thirty-two million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 333 359 407 1013 1077 1221 3039 3231 3663 3949 9117 11143 11847 13283 33429 35541 37481 39849 100287 112443 119547 146113 337329 363667 412291 438339 1091001 1236873 1315017 3273003 3710619 4000337 12001011 13455679 36003033 40367037 121101111 148012469 444037407 1332112221