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1112200112 = 2417192941181
BaseRepresentation
bin100001001001010…
…1101001110110000
32212111210121201202
41002102231032300
54234210400422
6302210150332
736363354632
oct10222551660
92774717652
101112200112
11520898451
122705823a8
13149562a9a
14a79d6a52
1567995b92
hex424ad3b0

1112200112 has 160 divisors (see below), whose sum is σ = 2559211200. Its totient is φ = 464486400.

The previous prime is 1112200099. The next prime is 1112200147. The reversal of 1112200112 is 2110022111.

It is a junction number, because it is equal to n+sod(n) for n = 1112200093 and 1112200102.

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 31 ways as a sum of consecutive naturals, for example, 6144662 + ... + 6144842.

It is an arithmetic number, because the mean of its divisors is an integer number (15995070).

Almost surely, 21112200112 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 1112200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279605600).

1112200112 is an abundant number, since it is smaller than the sum of its proper divisors (1447011088).

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

1112200112 is a wasteful number, since it uses less digits than its factorization.

1112200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1112200112 is about 33349.6643461370. The cubic root of 1112200112 is about 1036.0824360594.

Adding to 1112200112 its reverse (2110022111), we get a palindrome (3222222223).

The spelling of 1112200112 in words is "one billion, one hundred twelve million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 19 29 34 38 41 58 68 76 82 116 136 152 164 181 232 272 304 323 328 362 464 493 551 646 656 697 724 779 986 1102 1189 1292 1394 1448 1558 1972 2204 2378 2584 2788 2896 3077 3116 3439 3944 4408 4756 5168 5249 5576 6154 6232 6878 7421 7888 8816 9367 9512 10498 11152 12308 12464 13243 13756 14842 18734 19024 20213 20996 22591 24616 26486 27512 29684 37468 40426 41992 45182 49232 52972 55024 58463 59368 74936 80852 83984 89233 90364 99731 105944 116926 118736 126157 140999 149872 161704 178466 180728 199462 211888 215209 233852 252314 281998 323408 356932 361456 384047 398924 430418 467704 504628 563996 713864 768094 797848 860836 935408 1009256 1127992 1427728 1536188 1595696 1695427 1721672 2018512 2255984 2396983 3072376 3390854 3443344 3658553 4088971 4793966 6144752 6781708 7317106 8177942 9587932 13563416 14634212 16355884 19175864 27126832 29268424 32711768 38351728 58536848 65423536 69512507 139025014 278050028 556100056 1112200112