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1216331116 = 2272111343397
BaseRepresentation
bin100100001111111…
…1011110101101100
310010202202000121121
41020133323311230
54442340043431
6320410110324
742066433600
oct11037736554
93122660547
101216331116
11574650630
1229b41b3a4
13164cc1970
14b7781500
1571bb4611
hex487fbd6c

1216331116 has 72 divisors (see below), whose sum is σ = 2909054736. Its totient is φ = 437431680.

The previous prime is 1216331111. The next prime is 1216331117. The reversal of 1216331116 is 6111336121.

It is a super-2 number, since 2×12163311162 = 2958922767499610912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1216331111) 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 23 ways as a sum of consecutive naturals, for example, 6330 + ... + 49726.

It is an arithmetic number, because the mean of its divisors is an integer number (40403538).

Almost surely, 21216331116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216331116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454527368).

1216331116 is an abundant number, since it is smaller than the sum of its proper divisors (1692723620).

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

1216331116 is a wasteful number, since it uses less digits than its factorization.

1216331116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43439 (or 43430 counting only the distinct ones).

The product of its digits is 648, while the sum is 25.

The square root of 1216331116 is about 34875.9389264289. The cubic root of 1216331116 is about 1067.4575312317.

Adding to 1216331116 its reverse (6111336121), we get a palindrome (7327667237).

The spelling of 1216331116 in words is "one billion, two hundred sixteen million, three hundred thirty-one thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 2002 2156 2548 4004 7007 14014 28028 43397 86794 173588 303779 477367 564161 607558 954734 1128322 1215116 1909468 2126453 2256644 3341569 3949127 4252906 6205771 6683138 7898254 8505812 12411542 13366276 15796508 23390983 24823084 27643889 43440397 46781966 55287778 86880794 93563932 110575556 173761588 304082779 608165558 1216331116