Search a number
-
+
112012220112 = 24313235776159
BaseRepresentation
bin110100001010001110…
…0101101011011010000
3101201010022202100102220
41220110130231123100
53313400112020422
6123242510341040
711043524106252
oct1502434553320
9351108670386
10112012220112
114355aa83941
12198607ba780
13a7413624b0
1455c853dcd2
152da8ac0e5c
hex1a1472d6d0

112012220112 has 80 divisors (see below), whose sum is σ = 311760046080. Its totient is φ = 34450223616.

The previous prime is 112012220107. The next prime is 112012220141. The reversal of 112012220112 is 211022210211.

It is a super-3 number, since 3×1120122201123 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112012220091 and 112012220100.

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 15 ways as a sum of consecutive naturals, for example, 1432689 + ... + 1508847.

It is an arithmetic number, because the mean of its divisors is an integer number (3897000576).

Almost surely, 2112012220112 is an apocalyptic number.

112012220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112012220112 is an abundant number, since it is smaller than the sum of its proper divisors (199747825968).

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

112012220112 is a wasteful number, since it uses less digits than its factorization.

112012220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78540 (or 78534 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112012220112 its reverse (211022210211), we get a palindrome (323034430323).

Subtracting 112012220112 from its reverse (211022210211), we obtain a palindrome (99009990099).

The spelling of 112012220112 in words is "one hundred twelve billion, twelve million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 2357 4714 7071 9428 14142 18856 28284 30641 37712 56568 61282 76159 91923 113136 122564 152318 183846 228477 245128 304636 367692 456954 490256 609272 735384 913908 990067 1218544 1470768 1827816 1980134 2970201 3655632 3960268 5940402 7920536 11880804 15841072 23761608 47523216 179506763 359013526 538520289 718027052 1077040578 1436054104 2154081156 2333587919 2872108208 4308162312 4667175838 7000763757 8616324624 9334351676 14001527514 18668703352 28003055028 37337406704 56006110056 112012220112