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202110121220 = 225717246310789
BaseRepresentation
bin1011110000111010110…
…0111011010100000100
3201022200101211221122012
42330032230323110010
511302410142334340
6232503105153352
720413322453630
oct2741654732404
9638611757565
10202110121220
1178794992537
123320632b858
131609c541b07
149ad4443dc0
1553cd83a565
hex2f0eb3b504

202110121220 has 144 divisors (see below), whose sum is σ = 516436677120. Its totient is φ = 65071835136.

The previous prime is 202110121217. The next prime is 202110121223. The reversal of 202110121220 is 22121011202.

202110121220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202110121217) and next prime (202110121223).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 202110121195 and 202110121204.

It is not an unprimeable number, because it can be changed into a prime (202110121223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18727586 + ... + 18738374.

Almost surely, 2202110121220 is an apocalyptic number.

202110121220 is a gapful number since it is divisible by the number (20) 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 202110121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258218338560).

202110121220 is an abundant number, since it is smaller than the sum of its proper divisors (314326555900).

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

202110121220 is a wasteful number, since it uses less digits than its factorization.

202110121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11302 (or 11283 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202110121220 its reverse (22121011202), we get a palindrome (224231132422).

The spelling of 202110121220 in words is "two hundred two billion, one hundred ten million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 289 340 463 476 578 595 926 1156 1190 1445 1852 2023 2315 2380 2890 3241 4046 4630 5780 6482 7871 8092 9260 10115 10789 12964 15742 16205 20230 21578 31484 32410 39355 40460 43156 53945 55097 64820 75523 78710 107890 110194 133807 151046 157420 183413 215780 220388 267614 275485 302092 366826 377615 535228 550970 669035 733652 755230 917065 936649 1101940 1283891 1338070 1510460 1834130 1873298 2567782 2676140 3118021 3668260 3746596 4683245 4995307 5135564 6236042 6419455 9366490 9990614 12472084 12838910 15590105 18732980 19981228 21826147 24976535 25677820 31180210 34967149 43652294 49953070 62360420 69934298 84920219 87304588 99906140 109130735 139868596 169840438 174835745 218261470 339680876 349671490 424601095 436522940 594441533 699342980 849202190 1188883066 1443643723 1698404380 2377766132 2887287446 2972207665 5774574892 5944415330 7218218615 10105506061 11888830660 14436437230 20211012122 28872874460 40422024244 50527530305 101055060610 202110121220