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112010312000 = 265322961141
BaseRepresentation
bin110100001010001010…
…1011011100101000000
3101201010012011102000002
41220110111123211000
53313344114441000
6123242401415132
711043501641246
oct1502425334500
9351105142002
10112010312000
11435599a0294
121986003a4a8
13a740b44b32
1455c81a4796
152da88458d5
hex1a1455b940

112010312000 has 112 divisors (see below), whose sum is σ = 278609419920. Its totient is φ = 44607744000.

The previous prime is 112010311997. The next prime is 112010312027. The reversal of 112010312000 is 213010211.

It can be written as a sum of positive squares in 8 ways, for example, as 326019136 + 111684292864 = 18056^2 + 334192^2 .

It is a super-3 number, since 3×1120103120003 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1801430 + ... + 1862570.

Almost surely, 2112010312000 is an apocalyptic number.

112010312000 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 112010312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139304709960).

112010312000 is an abundant number, since it is smaller than the sum of its proper divisors (166599107920).

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

112010312000 is an equidigital number, since it uses as much as digits as its factorization.

112010312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61397 (or 61377 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 112010312000 its reverse (213010211), we get a palindrome (112223322211).

The spelling of 112010312000 in words is "one hundred twelve billion, ten million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 229 250 320 400 458 500 800 916 1000 1145 1600 1832 2000 2290 3664 4000 4580 5725 7328 8000 9160 11450 14656 18320 22900 28625 36640 45800 57250 61141 73280 91600 114500 122282 183200 229000 244564 305705 366400 458000 489128 611410 916000 978256 1222820 1528525 1832000 1956512 2445640 3057050 3913024 4891280 6114100 7642625 9782560 12228200 14001289 15285250 19565120 24456400 28002578 30570500 48912800 56005156 61141000 70006445 97825600 112010312 122282000 140012890 224020624 244564000 280025780 350032225 448041248 489128000 560051560 700064450 896082496 1120103120 1400128900 1750161125 2240206240 2800257800 3500322250 4480412480 5600515600 7000644500 11201031200 14001289000 22402062400 28002578000 56005156000 112010312000