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201122231220 = 2232510111062829
BaseRepresentation
bin1011101101001111010…
…0011011001110110100
3201020010112221221022200
42323103310123032310
511243344242344340
6232221055224500
720346665521101
oct2732364331664
9636115857280
10201122231220
1178328290119
1232b8b518130
1315c72984a11
149a3d169aa8
155371c4c330
hex2ed3d1b3b4

201122231220 has 72 divisors (see below), whose sum is σ = 616111128360. Its totient is φ = 53101574400.

The previous prime is 201122231137. The next prime is 201122231273. The reversal of 201122231220 is 22132221102.

201122231220 is a `hidden beast` number, since 201 + 12 + 2 + 231 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29895101604 + 171227129616 = 172902^2 + 413796^2 .

It is a super-2 number, since 2×2011222312202 (a number of 23 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 = 201122231193 and 201122231202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5513235 + ... + 5549594.

It is an arithmetic number, because the mean of its divisors is an integer number (8557099005).

Almost surely, 2201122231220 is an apocalyptic number.

201122231220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122231220 is an abundant number, since it is smaller than the sum of its proper divisors (414988897140).

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

201122231220 is a wasteful number, since it uses less digits than its factorization.

201122231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11062945 (or 11062940 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201122231220 its reverse (22132221102), we get a palindrome (223254452322).

The spelling of 201122231220 in words is "two hundred one billion, one hundred twenty-two million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 11062829 22125658 33188487 44251316 55314145 66376974 99565461 110628290 132753948 165942435 199130922 221256580 331884870 398261844 497827305 663769740 995654610 1117345729 1991309220 2234691458 3352037187 4469382916 5586728645 6704074374 10056111561 11173457290 13408148748 16760185935 20112223122 22346914580 33520371870 40224446244 50280557805 67040743740 100561115610 201122231220