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220021312221 = 3224446812469
BaseRepresentation
bin1100110011101001001…
…0101100101011011101
3210000220122220201121200
43030322102230223131
512101100423442341
6245024300150113
721616222203444
oct3147222545335
9700818821550
10220021312221
1185346327427
1236784838339
1317995249599
14a913153d5b
155acaeeedb6
hex333a4acadd

220021312221 has 6 divisors (see below), whose sum is σ = 317808562110. Its totient is φ = 146680874808.

The previous prime is 220021312219. The next prime is 220021312271. The reversal of 220021312221 is 122213120022.

220021312221 is a `hidden beast` number, since 220 + 0 + 213 + 12 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 149857248996 + 70164063225 = 387114^2 + 264885^2 .

It is not a de Polignac number, because 220021312221 - 21 = 220021312219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220021312194 and 220021312203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220021312211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12223406226 + ... + 12223406243.

It is an arithmetic number, because the mean of its divisors is an integer number (52968093685).

Almost surely, 2220021312221 is an apocalyptic number.

It is an amenable number.

220021312221 is a deficient number, since it is larger than the sum of its proper divisors (97787249889).

220021312221 is a wasteful number, since it uses less digits than its factorization.

220021312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24446812475 (or 24446812472 counting only the distinct ones).

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

Adding to 220021312221 its reverse (122213120022), we get a palindrome (342234432243).

The spelling of 220021312221 in words is "two hundred twenty billion, twenty-one million, three hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 24446812469 73340437407 220021312221