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112213000000 = 2656112213
BaseRepresentation
bin110100010000001101…
…0100111111101000000
3101201122022120000200001
41220200122213331000
53314303012000000
6123314442005344
711051512522333
oct1504032477500
9351568500601
10112213000000
1143653349832
12198b7aa6854
13a773b3076a
14560708661a
152dbb53146a
hex1a206a7f40

112213000000 has 98 divisors (see below), whose sum is σ = 278339757518. Its totient is φ = 44884800000.

The previous prime is 112212999979. The next prime is 112213000007. The reversal of 112213000000 is 312211.

It can be written as a sum of positive squares in 7 ways, for example, as 110745190656 + 1467809344 = 332784^2 + 38312^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112213000007) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 943894 + ... + 1056106.

Almost surely, 2112213000000 is an apocalyptic number.

112213000000 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 112213000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139169878759).

112213000000 is an abundant number, since it is smaller than the sum of its proper divisors (166126757518).

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

112213000000 is an frugal number, since it uses more digits than its factorization.

112213000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112255 (or 112220 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 112213000000 its reverse (312211), we get a palindrome (112213312211).

The spelling of 112213000000 in words is "one hundred twelve billion, two hundred thirteen million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 112213 125000 200000 224426 250000 448852 500000 561065 897704 1000000 1122130 1795408 2244260 2805325 3590816 4488520 5610650 7181632 8977040 11221300 14026625 17954080 22442600 28053250 35908160 44885200 56106500 70133125 89770400 112213000 140266250 179540800 224426000 280532500 350665625 448852000 561065000 701331250 897704000 1122130000 1402662500 1753328125 2244260000 2805325000 3506656250 4488520000 5610650000 7013312500 11221300000 14026625000 22442600000 28053250000 56106500000 112213000000