Search a number
-
+
1213312221 = 321141337887
BaseRepresentation
bin100100001010001…
…1010110011011101
310010120001122110200
41020110122303131
54441101442341
6320221254113
742031661262
oct11024326335
93116048420
101213312221
11572979480
1229a404339
131644a5834
14b71d7269
15717b9db6
hex4851acdd

1213312221 has 48 divisors (see below), whose sum is σ = 1966543488. Its totient is φ = 714470400.

The previous prime is 1213312207. The next prime is 1213312249. The reversal of 1213312221 is 1222133121.

It is not a de Polignac number, because 1213312221 - 26 = 1213312157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1213312194 and 1213312203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213312921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1367440 + ... + 1368326.

It is an arithmetic number, because the mean of its divisors is an integer number (40969656).

Almost surely, 21213312221 is an apocalyptic number.

1213312221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1213312221 is a deficient number, since it is larger than the sum of its proper divisors (753231267).

1213312221 is a wasteful number, since it uses less digits than its factorization.

1213312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1279 counting only the distinct ones).

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

The square root of 1213312221 is about 34832.6315543342. The cubic root of 1213312221 is about 1066.5736677492.

Adding to 1213312221 its reverse (1222133121), we get a palindrome (2435445342).

Subtracting 1213312221 from its reverse (1222133121), we obtain a square (8820900 = 29702).

The spelling of 1213312221 in words is "one billion, two hundred thirteen million, three hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 41 99 123 337 369 451 887 1011 1353 2661 3033 3707 4059 7983 9757 11121 13817 29271 33363 36367 41451 87813 109101 124353 151987 298919 327303 400037 455961 896757 1200111 1367883 2690271 3288109 3600333 9864327 12255679 29592981 36767037 110301111 134812469 404437407 1213312221