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112211002020 = 2235131011424359
BaseRepresentation
bin110100010000001001…
…1000000001010100100
3101201122011210111221210
41220200103000022210
53314302004031040
6123314331111420
711051456531325
oct1504023001244
9351564714853
10112211002020
1143652204707
12198b72a2570
13a7735b1220
145606ac644c
152dbb289480
hex1a204c02a4

112211002020 has 96 divisors (see below), whose sum is σ = 341709661440. Its totient is φ = 27347673600.

The previous prime is 112211001997. The next prime is 112211002027. The reversal of 112211002020 is 20200112211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112211001987 and 112211002005.

It is not an unprimeable number, because it can be changed into a prime (112211002027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633400 + ... + 790959.

It is an arithmetic number, because the mean of its divisors is an integer number (3559475640).

Almost surely, 2112211002020 is an apocalyptic number.

112211002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112211002020 is an abundant number, since it is smaller than the sum of its proper divisors (229498659420).

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

112211002020 is a wasteful number, since it uses less digits than its factorization.

112211002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424485 (or 1424483 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112211002020 its reverse (20200112211), we get a palindrome (132411114231).

The spelling of 112211002020 in words is "one hundred twelve billion, two hundred eleven million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 101 130 156 195 202 260 303 390 404 505 606 780 1010 1212 1313 1515 2020 2626 3030 3939 5252 6060 6565 7878 13130 15756 19695 26260 39390 78780 1424359 2848718 4273077 5697436 7121795 8546154 14243590 17092308 18516667 21365385 28487180 37033334 42730770 55550001 74066668 85461540 92583335 111100002 143860259 185166670 222200004 277750005 287720518 370333340 431580777 555500010 575441036 719301295 863161554 1111000020 1438602590 1726323108 1870183367 2157903885 2877205180 3740366734 4315807770 5610550101 7480733468 8631615540 9350916835 11221100202 18701833670 22442200404 28052750505 37403667340 56105501010 112211002020