Search a number
-
+
12110020110 = 23253136711827
BaseRepresentation
bin10110100011101000…
…00011111000001110
31011020222010202120100
423101310003320032
5144300131120420
65321355431530
7606045321036
oct132164037016
934228122510
1012110020110
115154877391
12241b7555a6
1311acba6096
1482c49a8c6
154ad254190
hex2d1d03e0e

12110020110 has 96 divisors (see below), whose sum is σ = 32593047552. Its totient is φ = 3116387520.

The previous prime is 12110020093. The next prime is 12110020163. The reversal of 12110020110 is 1102001121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12110020092 and 12110020101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1018017 + ... + 1029843.

It is an arithmetic number, because the mean of its divisors is an integer number (339510912).

Almost surely, 212110020110 is an apocalyptic number.

12110020110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12110020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16296523776).

12110020110 is an abundant number, since it is smaller than the sum of its proper divisors (20483027442).

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

12110020110 is a wasteful number, since it uses less digits than its factorization.

12110020110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12238 (or 12235 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12110020110 its reverse (1102001121), we get a palindrome (13212021231).

The spelling of 12110020110 in words is "twelve billion, one hundred ten million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 367 465 558 734 930 1101 1395 1835 2202 2790 3303 3670 5505 6606 11010 11377 11827 16515 22754 23654 33030 34131 35481 56885 59135 68262 70962 102393 106443 113770 118270 170655 177405 204786 212886 341310 354810 366637 511965 532215 733274 1023930 1064430 1099911 1833185 2199822 3299733 3666370 4340509 5499555 6599466 8681018 10999110 13021527 16498665 21702545 26043054 32997330 39064581 43405090 65107635 78129162 130215270 134555779 195322905 269111558 390645810 403667337 672778895 807334674 1211002011 1345557790 2018336685 2422004022 4036673370 6055010055 12110020110