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21020222112201 = 32131283367738083
BaseRepresentation
bin1001100011110001001101…
…10111110100000111001001
32202102111212102100200001100
410301320212313310013021
510223343403330042301
6112412320130412013
74266442461626154
oct461704667640711
982374772320040
1021020222112201
116774698428154
122435a39a31009
13b96276c84130
14529554286c9b
15266bb6ade286
hex131e26df41c9

21020222112201 has 48 divisors (see below), whose sum is σ = 32733368006976. Its totient is φ = 12921584531328.

The previous prime is 21020222112187. The next prime is 21020222112247. The reversal of 21020222112201 is 10221122202012.

It is a happy number.

21020222112201 is a `hidden beast` number, since 21 + 0 + 202 + 221 + 1 + 220 + 1 = 666.

It is not a de Polignac number, because 21020222112201 - 215 = 21020222079433 is a prime.

It is a super-3 number, since 3×210202221122013 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21020222119201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 551939106 + ... + 551977188.

It is an arithmetic number, because the mean of its divisors is an integer number (681945166812).

Almost surely, 221020222112201 is an apocalyptic number.

It is an amenable number.

21020222112201 is a deficient number, since it is larger than the sum of its proper divisors (11713145894775).

21020222112201 is a wasteful number, since it uses less digits than its factorization.

21020222112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43062 (or 43059 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21020222112201 its reverse (10221122202012), we get a palindrome (31241344314213).

The spelling of 21020222112201 in words is "twenty-one trillion, twenty billion, two hundred twenty-two million, one hundred twelve thousand, two hundred one".

Divisors: 1 3 9 13 39 117 1283 3677 3849 11031 11547 16679 33093 38083 47801 50037 114249 143403 150111 342747 430209 495079 1485237 4455711 4717591 14152773 42458319 48860489 61328683 140031191 146581467 183986049 420093573 439744401 551958147 635186357 1260280719 1820405483 1905559071 5461216449 5716677213 16383649347 179660018053 538980054159 1616940162477 2335580234689 7006740704067 21020222112201