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12180116 = 22132941197
BaseRepresentation
bin101110011101…
…101010010100
3211220210222102
4232131222110
511104230431
61113021232
7205346354
oct56355224
924823872
1012180116
11696a113
1240b4818
1326a5c90
141890b64
151108dcb
hexb9da94

12180116 has 48 divisors (see below), whose sum is σ = 24449040. Its totient is φ = 5268480.

The previous prime is 12180101. The next prime is 12180151. The reversal of 12180116 is 61108121.

It can be written as a sum of positive squares in 8 ways, for example, as 250000 + 11930116 = 500^2 + 3454^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61730 + ... + 61926.

It is an arithmetic number, because the mean of its divisors is an integer number (509355).

Almost surely, 212180116 is an apocalyptic number.

It is an amenable number.

12180116 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

12180116 is a wasteful number, since it uses less digits than its factorization.

12180116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

The square root of 12180116 is about 3490.0022922629. The cubic root of 12180116 is about 230.0826168230.

Adding to 12180116 its reverse (61108121), we get a palindrome (73288237).

It can be divided in two parts, 121801 and 16, that multiplied together give a square (1948816 = 13962).

The spelling of 12180116 in words is "twelve million, one hundred eighty thousand, one hundred sixteen".

Divisors: 1 2 4 13 26 29 41 52 58 82 116 164 197 377 394 533 754 788 1066 1189 1508 2132 2378 2561 4756 5122 5713 8077 10244 11426 15457 16154 22852 30914 32308 61828 74269 105001 148538 210002 234233 297076 420004 468466 936932 3045029 6090058 12180116