Search a number
-
+
12171112182 = 23231112319423
BaseRepresentation
bin10110101010111010…
…00110111011110110
31011102020002120010200
423111131012323312
5144411301042212
65331421101330
7610416514035
oct132535067366
934366076120
1012171112182
1151863037a9
1224380b7846
1311bc746138
1483664071c
154b37c06dc
hex2d5746ef6

12171112182 has 48 divisors (see below), whose sum is σ = 27247054848. Its totient is φ = 3922467120.

The previous prime is 12171112181. The next prime is 12171112211. The reversal of 12171112182 is 28121117121.

It is a super-2 number, since 2×121711121822 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12171112181) 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, 616923 + ... + 636345.

It is an arithmetic number, because the mean of its divisors is an integer number (567646976).

Almost surely, 212171112182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12171112182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13623527424).

12171112182 is an abundant number, since it is smaller than the sum of its proper divisors (15075942666).

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

12171112182 is a wasteful number, since it uses less digits than its factorization.

12171112182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20585 (or 20582 counting only the distinct ones).

The product of its digits is 448, while the sum is 27.

The spelling of 12171112182 in words is "twelve billion, one hundred seventy-one million, one hundred twelve thousand, one hundred eighty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 1123 2246 3369 6738 10107 19423 20214 34813 38846 58269 69626 104439 116538 174807 208878 313317 349614 602113 626634 1204226 1806339 3612678 5419017 10838034 21812029 43624058 65436087 130872174 196308261 392616522 676172899 1352345798 2028518697 4057037394 6085556091 12171112182