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112112222000 = 24531011992789
BaseRepresentation
bin110100001101001101…
…0001011111100110000
3101201101021220222020112
41220122122023330300
53314101212101000
6123300442000452
711046150110042
oct1503232137460
9351337828215
10112112222000
1143601476829
121988a1a6128
13a758ca6acc
1455d7931a92
152db2776235
hex1a1a68bf30

112112222000 has 160 divisors (see below), whose sum is σ = 275245776000. Its totient is φ = 44161920000.

The previous prime is 112112221993. The next prime is 112112222041. The reversal of 112112222000 is 222211211.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40196606 + ... + 40199394.

It is an arithmetic number, because the mean of its divisors is an integer number (1720286100).

Almost surely, 2112112222000 is an apocalyptic number.

112112222000 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 112112222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137622888000).

112112222000 is an abundant number, since it is smaller than the sum of its proper divisors (163133554000).

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

112112222000 is a wasteful number, since it uses less digits than its factorization.

112112222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112112222000 its reverse (222211211), we get a palindrome (112334433211).

The spelling of 112112222000 in words is "one hundred twelve billion, one hundred twelve million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 199 200 202 250 398 400 404 500 505 796 808 995 1000 1010 1592 1616 1990 2000 2020 2525 2789 3184 3980 4040 4975 5050 5578 7960 8080 9950 10100 11156 12625 13945 15920 19900 20099 20200 22312 24875 25250 27890 39800 40198 40400 44624 49750 50500 55780 69725 79600 80396 99500 100495 101000 111560 139450 160792 199000 200990 202000 223120 278900 281689 321584 348625 398000 401980 502475 555011 557800 563378 697250 803960 1004950 1110022 1115600 1126756 1394500 1408445 1607920 2009900 2220044 2253512 2512375 2775055 2789000 2816890 4019800 4440088 4507024 5024750 5550110 5578000 5633780 7042225 8039600 8880176 10049500 11100220 11267560 13875275 14084450 20099000 22200440 22535120 27750550 28168900 35211125 40198000 44400880 55501100 56056111 56337800 69376375 70422250 111002200 112112222 112675600 138752750 140844500 222004400 224224444 277505500 280280555 281689000 448448888 555011000 560561110 563378000 896897776 1110022000 1121122220 1401402775 2242244440 2802805550 4484488880 5605611100 7007013875 11211222200 14014027750 22422444400 28028055500 56056111000 112112222000