Search a number
-
+
112112222220 = 223253733150857
BaseRepresentation
bin110100001101001101…
…0001100000000001100
3101201101021220222112200
41220122122030000030
53314101212102340
6123300442001500
711046150110505
oct1503232140014
9351337828480
10112112222220
1143601476a09
121988a1a6290
13a758ca6c3b
1455d7931bac
152db2776330
hex1a1a68c00c

112112222220 has 144 divisors (see below), whose sum is σ = 350326992288. Its totient is φ = 29000125440.

The previous prime is 112112222203. The next prime is 112112222237. The reversal of 112112222220 is 22222211211.

It is a happy number.

112112222220 is a `hidden beast` number, since 11 + 211 + 2 + 222 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (112112222203) and next prime (112112222237).

It is a super-2 number, since 2×1121122222202 (a number of 23 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 = 112112222193 and 112112222202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2179032 + ... + 2229888.

Almost surely, 2112112222220 is an apocalyptic number.

112112222220 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 112112222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175163496144).

112112222220 is an abundant number, since it is smaller than the sum of its proper divisors (238214770068).

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

112112222220 is a wasteful number, since it uses less digits than its factorization.

112112222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51240 (or 51235 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112112222220 its reverse (22222211211), we get a palindrome (134334433431).

The spelling of 112112222220 in words is "one hundred twelve billion, one hundred twelve million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 331 333 370 444 555 662 666 740 993 1110 1324 1332 1655 1665 1986 2220 2979 3310 3330 3972 4965 5958 6620 6660 9930 11916 12247 14895 19860 24494 29790 36741 48988 50857 59580 61235 73482 101714 110223 122470 146964 152571 183705 203428 220446 244940 254285 305142 367410 440892 457713 508570 551115 610284 734820 762855 915426 1017140 1102230 1525710 1830852 1881709 2204460 2288565 3051420 3763418 4577130 5645127 7526836 9154260 9408545 11290254 16833667 16935381 18817090 22580508 28225635 33667334 33870762 37634180 50501001 56451270 67334668 67741524 84168335 84676905 101002002 112902540 151503003 168336670 169353810 202004004 252505005 303006006 336673340 338707620 505010010 606012012 622845679 757515015 1010020020 1245691358 1515030030 1868537037 2491382716 3030060060 3114228395 3737074074 5605611111 6228456790 7474148148 9342685185 11211222222 12456913580 18685370370 22422444444 28028055555 37370740740 56056111110 112112222220