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220122100221 = 3297990735311
BaseRepresentation
bin1100110100000001001…
…1001011000111111101
3210001011200120021202120
43031000103023013331
512101302224201341
6245042300313153
721621554660142
oct3150023130775
9701150507676
10220122100221
11853982069a1
12367b25427b9
13179b00a795a
14a9226ac3c9
155ad4cad066
hex33404cb1fd

220122100221 has 32 divisors (see below), whose sum is σ = 307807641600. Its totient is φ = 139736076480.

The previous prime is 220122100189. The next prime is 220122100223. The reversal of 220122100221 is 122001221022.

220122100221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220122100221 - 25 = 220122100189 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 220122100221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220122100223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6216156 + ... + 6251466.

It is an arithmetic number, because the mean of its divisors is an integer number (9618988800).

Almost surely, 2220122100221 is an apocalyptic number.

It is an amenable number.

220122100221 is a deficient number, since it is larger than the sum of its proper divisors (87685541379).

220122100221 is a wasteful number, since it uses less digits than its factorization.

220122100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36329.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220122100221 its reverse (122001221022), we get a palindrome (342123321243).

The spelling of 220122100221 in words is "two hundred twenty billion, one hundred twenty-two million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 29 79 87 237 907 2291 2721 6873 26303 35311 71653 78909 105933 214959 1024019 2077937 2789569 3072057 6233811 8368707 32027077 80897501 96081231 242692503 928785233 2530139083 2786355699 7590417249 73374033407 220122100221