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201112220201220 = 223252694153494841
BaseRepresentation
bin101101101110100100010110…
…011100011111000100000100
3222101002010210102011100221100
4231232210112130133010010
5202330010311332414340
61551421402320220100
760234610204121046
oct5556442634370404
9871063712140840
10201112220201220
1159098239356399
121a680a8b76a630
13882aa54a09b43
143793c52069a96
15183b5cc7aa830
hexb6e91671f104

201112220201220 has 72 divisors (see below), whose sum is σ = 612308209607640. Its totient is φ = 53430557621760.

The previous prime is 201112220201183. The next prime is 201112220201227. The reversal of 201112220201220 is 22102022211102.

It is a happy number.

201112220201220 is a `hidden beast` number, since 2 + 0 + 11 + 12 + 220 + 201 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11933487342144 + 189178732859076 = 3454488^2 + 13754226^2 .

It is a super-2 number, since 2×2011122202012202 (a number of 29 digits) contains 22 as substring.

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 = 201112220201193 and 201112220201202.

It is not an unprimeable number, because it can be changed into a prime (201112220201227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2076699001 + ... + 2076795840.

It is an arithmetic number, because the mean of its divisors is an integer number (8504280688995).

Almost surely, 2201112220201220 is an apocalyptic number.

201112220201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201112220201220 is an abundant number, since it is smaller than the sum of its proper divisors (411195989406420).

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

201112220201220 is a wasteful number, since it uses less digits than its factorization.

201112220201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153495125 (or 4153495120 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201112220201220 its reverse (22102022211102), we get a palindrome (223214242412322).

The spelling of 201112220201220 in words is "two hundred one trillion, one hundred twelve billion, two hundred twenty million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 269 538 807 1076 1345 1614 2421 2690 3228 4035 4842 5380 8070 9684 12105 16140 24210 48420 4153494841 8306989682 12460484523 16613979364 20767474205 24920969046 37381453569 41534948410 49841938092 62302422615 74762907138 83069896820 124604845230 149525814276 186907267845 249209690460 373814535690 747629071380 1117290112229 2234580224458 3351870336687 4469160448916 5586450561145 6703740673374 10055611010061 11172901122290 13407481346748 16759351683435 20111222020122 22345802244580 33518703366870 40222444040244 50278055050305 67037406733740 100556110100610 201112220201220