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211310330220 = 2232511106722389
BaseRepresentation
bin1100010011001100010…
…0111100000101101100
3202012102120122222202200
43010303010330011230
511430230421031340
6241024041421500
721160316112453
oct3046304740554
9665376588680
10211310330220
1181686199750
1234b5349a890
1316c07620572
14a328293b9a
15576b3b3330
hex313313c16c

211310330220 has 72 divisors (see below), whose sum is σ = 699245099280. Its totient is φ = 51226746240.

The previous prime is 211310330183. The next prime is 211310330233. The reversal of 211310330220 is 22033013112.

211310330220 is a `hidden beast` number, since 2 + 1 + 1 + 310 + 330 + 2 + 20 = 666.

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 = 211310330193 and 211310330202.

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, 53359215 + ... + 53363174.

It is an arithmetic number, because the mean of its divisors is an integer number (9711737490).

Almost surely, 2211310330220 is an apocalyptic number.

211310330220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211310330220 is an abundant number, since it is smaller than the sum of its proper divisors (487934769060).

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

211310330220 is a wasteful number, since it uses less digits than its factorization.

211310330220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106722415 (or 106722410 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 211310330220 its reverse (22033013112), we get a palindrome (233343343332).

The spelling of 211310330220 in words is "two hundred eleven billion, three hundred ten million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 106722389 213444778 320167167 426889556 533611945 640334334 960501501 1067223890 1173946279 1280668668 1600835835 1921003002 2134447780 2347892558 3201671670 3521838837 3842006004 4695785116 4802507505 5869731395 6403343340 7043677674 9605015010 10565516511 11739462790 14087355348 17609194185 19210030020 21131033022 23478925580 35218388370 42262066044 52827582555 70436776740 105655165110 211310330220