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112111112220 = 223537283178447
BaseRepresentation
bin110100001101001010…
…1111101000000011100
3101201101012211120220120
41220122111331000130
53314100421042340
6123300402114540
711046134505402
oct1503225750034
9351335746816
10112111112220
1143600888a58
121988994ba50
13a7589a8933
1455d7723472
152db26074d0
hex1a1a57d01c

112111112220 has 96 divisors (see below), whose sum is σ = 323536217088. Its totient is φ = 28985340672.

The previous prime is 112111112173. The next prime is 112111112299. The reversal of 112111112220 is 22211111211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112111112220.

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 31 ways as a sum of consecutive naturals, for example, 539037 + ... + 717483.

It is an arithmetic number, because the mean of its divisors is an integer number (3370168928).

Almost surely, 2112111112220 is an apocalyptic number.

112111112220 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 112111112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161768108544).

112111112220 is an abundant number, since it is smaller than the sum of its proper divisors (211425104868).

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

112111112220 is a wasteful number, since it uses less digits than its factorization.

112111112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178779 (or 178777 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112111112220 its reverse (22211111211), we get a palindrome (134322223431).

The spelling of 112111112220 in words is "one hundred twelve billion, one hundred eleven million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 283 370 444 555 566 740 849 1110 1132 1415 1698 2220 2830 3396 4245 5660 8490 10471 16980 20942 31413 41884 52355 62826 104710 125652 157065 178447 209420 314130 356894 535341 628260 713788 892235 1070682 1784470 2141364 2676705 3568940 5353410 6602539 10706820 13205078 19807617 26410156 33012695 39615234 50500501 66025390 79230468 99038085 101001002 132050780 151501503 198076170 202002004 252502505 303003006 396152340 505005010 606006012 757507515 1010010020 1515015030 1868518537 3030030060 3737037074 5605555611 7474074148 9342592685 11211111222 18685185370 22422222444 28027778055 37370370740 56055556110 112111112220