Search a number
-
+
12113111320 = 2351729971051
BaseRepresentation
bin10110100011111111…
…10110100100011000
31011021011221210220121
423101333312210120
5144301424030240
65321550003024
7606113514232
oct132177664430
934234853817
1012113111320
115156598902
1224207a6474
1311b07190bb
1482ca63252
154ad66504a
hex2d1ff6918

12113111320 has 96 divisors (see below), whose sum is σ = 29008626480. Its totient is φ = 4551321600.

The previous prime is 12113111293. The next prime is 12113111333. The reversal of 12113111320 is 2311131121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12113111294 and 12113111303.

It is a congruent number.

It is an unprimeable number.

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, 11524795 + ... + 11525845.

Almost surely, 212113111320 is an apocalyptic number.

12113111320 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 12113111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14504313240).

12113111320 is an abundant number, since it is smaller than the sum of its proper divisors (16895515160).

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

12113111320 is a wasteful number, since it uses less digits than its factorization.

12113111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 12113111320 its reverse (2311131121), we get a palindrome (14424242441).

The spelling of 12113111320 in words is "twelve billion, one hundred thirteen million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 997 1051 1156 1445 1994 2102 2312 2890 3988 4204 4985 5255 5780 7976 8408 9970 10510 11560 16949 17867 19940 21020 33898 35734 39880 42040 67796 71468 84745 89335 135592 142936 169490 178670 288133 303739 338980 357340 576266 607478 677960 714680 1047847 1152532 1214956 1440665 1518695 2095694 2305064 2429912 2881330 3037390 4191388 5239235 5762660 6074780 8382776 10478470 11525320 12149560 17813399 20956940 35626798 41913880 71253596 89066995 142507192 178133990 302827783 356267980 605655566 712535960 1211311132 1514138915 2422622264 3028277830 6056555660 12113111320