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112010002020 = 223257149596623
BaseRepresentation
bin110100001010001010…
…0001111111001100100
3101201010011120122210100
41220110110033321210
53313344030031040
6123242351024100
711043466210440
oct1502424177144
9351104518710
10112010002020
11435597a9404
121985bb0b030
13a740a66a07
1455c8123820
152da87d3b30
hex1a1450fe64

112010002020 has 144 divisors (see below), whose sum is σ = 390908044800. Its totient is φ = 25430416128.

The previous prime is 112010002019. The next prime is 112010002031. The reversal of 112010002020 is 20200010211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112010001993 and 112010002011.

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 47 ways as a sum of consecutive naturals, for example, 110572 + ... + 486051.

It is an arithmetic number, because the mean of its divisors is an integer number (2714639200).

Almost surely, 2112010002020 is an apocalyptic number.

112010002020 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 112010002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195454022400).

112010002020 is an abundant number, since it is smaller than the sum of its proper divisors (278898042780).

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

112010002020 is a wasteful number, since it uses less digits than its factorization.

112010002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596794 (or 596789 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 112010002020 its reverse (20200010211), we get a palindrome (132210012231).

The spelling of 112010002020 in words is "one hundred twelve billion, ten million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 149 180 210 252 298 315 420 447 596 630 745 894 1043 1260 1341 1490 1788 2086 2235 2682 2980 3129 4172 4470 5215 5364 6258 6705 8940 9387 10430 12516 13410 15645 18774 20860 26820 31290 37548 46935 62580 93870 187740 596623 1193246 1789869 2386492 2983115 3579738 4176361 5369607 5966230 7159476 8352722 8949345 10739214 11932460 12529083 16705444 17898690 20881805 21478428 25058166 26848035 35797380 37587249 41763610 50116332 53696070 62645415 75174498 83527220 88896827 107392140 125290830 150348996 177793654 187936245 250581660 266690481 355587308 375872490 444484135 533380962 622277789 751744980 800071443 888968270 1066761924 1244555578 1333452405 1600142886 1777936540 1866833367 2489111156 2666904810 3111388945 3200285772 3733666734 4000357215 5333809620 5600500101 6222777890 7467333468 8000714430 9334166835 11201000202 12445555780 16001428860 18668333670 22402000404 28002500505 37336667340 56005001010 112010002020