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12041103420 = 22325131691739
BaseRepresentation
bin10110011011011010…
…01010100000111100
31011002011110102122100
423031231022200330
5144130010302140
65310454345100
7604250455533
oct131555124074
934064412570
1012041103420
115119986245
12240065b190
13119b826688
1482327b31a
154a718e530
hex2cdb4a83c

12041103420 has 144 divisors (see below), whose sum is σ = 36906629760. Its totient is φ = 3177532800.

The previous prime is 12041103341. The next prime is 12041103463. The reversal of 12041103420 is 2430114021.

12041103420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120411034202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12041103393 and 12041103402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16293411 + ... + 16294149.

It is an arithmetic number, because the mean of its divisors is an integer number (256296040).

Almost surely, 212041103420 is an apocalyptic number.

12041103420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12041103420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18453314880).

12041103420 is an abundant number, since it is smaller than the sum of its proper divisors (24865526340).

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

12041103420 is a wasteful number, since it uses less digits than its factorization.

12041103420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12041103420 its reverse (2430114021), we get a palindrome (14471217441).

The spelling of 12041103420 in words is "twelve billion, forty-one million, one hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 691 739 786 1179 1310 1382 1478 1572 1965 2073 2217 2358 2620 2764 2956 3455 3695 3930 4146 4434 4716 5895 6219 6651 6910 7390 7860 8292 8868 10365 11085 11790 12438 13302 13820 14780 20730 22170 23580 24876 26604 31095 33255 41460 44340 62190 66510 90521 96809 124380 133020 181042 193618 271563 290427 362084 387236 452605 484045 510649 543126 580854 814689 871281 905210 968090 1021298 1086252 1161708 1357815 1452135 1531947 1629378 1742562 1810420 1936180 2042596 2553245 2715630 2904270 3063894 3258756 3485124 4073445 4356405 4595841 5106490 5431260 5808540 6127788 7659735 8146890 8712810 9191682 10212980 15319470 16293780 17425620 18383364 22979205 30638940 45958410 66895019 91916820 133790038 200685057 267580076 334475095 401370114 602055171 668950190 802740228 1003425285 1204110342 1337900380 2006850570 2408220684 3010275855 4013701140 6020551710 12041103420