Search a number
-
+
111230011312 = 24789107104287
BaseRepresentation
bin110011110010111010…
…0110100011110110000
3101122002210220000200121
41213211310310132300
53310244340330222
6123033125100024
711015245332160
oct1474564643660
9348083800617
10111230011312
1143199494892
1219682857614
13a64829b554
1455526c65a0
152d600b05c7
hex19e5d347b0

111230011312 has 80 divisors (see below), whose sum is σ = 251392481280. Its totient is φ = 46693430784.

The previous prime is 111230011309. The next prime is 111230011339. The reversal of 111230011312 is 213110032111.

It is a happy number.

It is a super-2 number, since 2×1112300113122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014433 + ... + 1118719.

It is an arithmetic number, because the mean of its divisors is an integer number (3142406016).

Almost surely, 2111230011312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111230011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125696240640).

111230011312 is an abundant number, since it is smaller than the sum of its proper divisors (140162469968).

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

111230011312 is a wasteful number, since it uses less digits than its factorization.

111230011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104498 (or 104492 counting only the distinct ones).

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

Adding to 111230011312 its reverse (213110032111), we get a palindrome (324340043423).

The spelling of 111230011312 in words is "one hundred eleven billion, two hundred thirty million, eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 89 107 112 178 214 356 428 623 712 749 856 1246 1424 1498 1712 2492 2996 4984 5992 9523 9968 11984 19046 38092 66661 76184 104287 133322 152368 208574 266644 417148 533288 730009 834296 1066576 1460018 1668592 2920036 5840072 9281543 11158709 11680144 18563086 22317418 37126172 44634836 64970801 74252344 78110963 89269672 129941602 148504688 156221926 178539344 259883204 312443852 519766408 624887704 993125101 1039532816 1249775408 1986250202 3972500404 6951875707 7945000808 13903751414 15890001616 27807502828 55615005656 111230011312