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203022312120 = 233252006328109
BaseRepresentation
bin1011110100010100010…
…0101010001010111000
3201102000222022001022100
42331011010222022320
511311242202441440
6233133412423400
720445040115415
oct2750504521270
9642028261270
10203022312120
1179112891011
123341b917b60
13161b6516344
149b7d65510c
155433974230
hex2f4512a2b8

203022312120 has 96 divisors (see below), whose sum is σ = 659878876800. Its totient is φ = 54134658816.

The previous prime is 203022312079. The next prime is 203022312193. The reversal of 203022312120 is 21213220302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 203022312093 and 203022312102.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7208626 + ... + 7236734.

It is an arithmetic number, because the mean of its divisors is an integer number (6873738300).

Almost surely, 2203022312120 is an apocalyptic number.

203022312120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203022312120 is an abundant number, since it is smaller than the sum of its proper divisors (456856564680).

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

203022312120 is a wasteful number, since it uses less digits than its factorization.

203022312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48189 (or 48182 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 203022312120 its reverse (21213220302), we get a palindrome (224235532422).

The spelling of 203022312120 in words is "two hundred three billion, twenty-two million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 20063 28109 40126 56218 60189 80252 84327 100315 112436 120378 140545 160504 168654 180567 200630 224872 240756 252981 281090 300945 337308 361134 401260 421635 481512 505962 562180 601890 674616 722268 802520 843270 902835 1011924 1124360 1203780 1264905 1444536 1686540 1805670 2023848 2407560 2529810 3373080 3611340 5059620 7222680 10119240 563950867 1127901734 1691852601 2255803468 2819754335 3383705202 4511606936 5075557803 5639508670 6767410404 8459263005 10151115606 11279017340 13534820808 16918526010 20302231212 22558034680 25377789015 33837052020 40604462424 50755578030 67674104040 101511156060 203022312120