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201233300220 = 223251117962779
BaseRepresentation
bin1011101101101001110…
…0000111101011111100
3201020102021221211100100
42323122130013223330
511244111211101340
6232240104001100
720352514554321
oct2733234075374
9636367854310
10201233300220
1178384a51987
1233000760190
1315c8c9a2814
149a4dbdcb48
15537b88b830
hex2eda707afc

201233300220 has 36 divisors (see below), whose sum is σ = 610407677880. Its totient is φ = 53662213344.

The previous prime is 201233300207. The next prime is 201233300287. The reversal of 201233300220 is 22003332102.

It is a happy number.

201233300220 is a `hidden beast` number, since 20 + 123 + 3 + 300 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2012333002202 (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 = 201233300193 and 201233300202.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 558981210 + ... + 558981569.

It is an arithmetic number, because the mean of its divisors is an integer number (16955768830).

Almost surely, 2201233300220 is an apocalyptic number.

201233300220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201233300220 is an abundant number, since it is smaller than the sum of its proper divisors (409174377660).

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

201233300220 is a wasteful number, since it uses less digits than its factorization.

201233300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117962794 (or 1117962789 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 201233300220 its reverse (22003332102), we get a palindrome (223236632322).

The spelling of 201233300220 in words is "two hundred one billion, two hundred thirty-three million, three hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1117962779 2235925558 3353888337 4471851116 5589813895 6707776674 10061665011 11179627790 13415553348 16769441685 20123330022 22359255580 33538883370 40246660044 50308325055 67077766740 100616650110 201233300220