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211330220321 = 11241281367773
BaseRepresentation
bin1100010011010001000…
…0110100000100100001
3202012110222002111212002
43010310100310010201
511430301014022241
6241030032013345
721160650143213
oct3046420640441
9665428074762
10211330220321
1181696444450
1234b5a091255
1316c0b79595c
14a32ab905b3
15576cee189b
hex3134434121

211330220321 has 32 divisors (see below), whose sum is σ = 233256900096. Its totient is φ = 189874944000.

The previous prime is 211330220251. The next prime is 211330220329. The reversal of 211330220321 is 123022033112.

It is a cyclic number.

It is not a de Polignac number, because 211330220321 - 210 = 211330219297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211330220293 and 211330220302.

It is not an unprimeable number, because it can be changed into a prime (211330220329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273389291 + ... + 273390063.

It is an arithmetic number, because the mean of its divisors is an integer number (7289278128).

Almost surely, 2211330220321 is an apocalyptic number.

It is an amenable number.

211330220321 is a deficient number, since it is larger than the sum of its proper divisors (21926679775).

211330220321 is a wasteful number, since it uses less digits than its factorization.

211330220321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 211330220321 its reverse (123022033112), we get a palindrome (334352253433).

The spelling of 211330220321 in words is "two hundred eleven billion, three hundred thirty million, two hundred twenty thousand, three hundred twenty-one".

Divisors: 1 11 241 281 367 773 2651 3091 4037 8503 67721 88447 103127 186293 217213 283691 744931 972917 1134397 2049223 2389343 3120601 24853607 52348333 68369531 79717171 273389677 575831663 752064841 876888881 19211838211 211330220321