Search a number
-
+
22002121210221 = 3231435334603181
BaseRepresentation
bin1010000000010110001001…
…00111100111100101101101
32212220101022122202000000100
411000023010213213211231
510340440321012211341
6114443345052021313
74430413034353215
oct500130447474555
985811278660010
1022002121210221
117013057913519
1225741a9a61839
13c37a39151189
14560ca0719245
152824d41ba3b6
hex1402c49e796d

22002121210221 has 48 divisors (see below), whose sum is σ = 34202338739712. Its totient is φ = 13603202121600.

The previous prime is 22002121210171. The next prime is 22002121210241. The reversal of 22002121210221 is 12201212120022.

It is a happy number.

22002121210221 is a `hidden beast` number, since 2 + 20 + 0 + 212 + 1 + 210 + 221 = 666.

It is not a de Polignac number, because 22002121210221 - 218 = 22002120948077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22002121210194 and 22002121210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002121210241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16665750 + ... + 17937431.

It is an arithmetic number, because the mean of its divisors is an integer number (712548723744).

Almost surely, 222002121210221 is an apocalyptic number.

It is an amenable number.

22002121210221 is a deficient number, since it is larger than the sum of its proper divisors (12200217529491).

22002121210221 is a wasteful number, since it uses less digits than its factorization.

22002121210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34603314 (or 34603311 counting only the distinct ones).

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

Adding to 22002121210221 its reverse (12201212120022), we get a palindrome (34203333330243).

The spelling of 22002121210221 in words is "twenty-two trillion, two billion, one hundred twenty-one million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 9 31 43 53 93 129 159 279 387 477 1333 1643 2279 3999 4929 6837 11997 14787 20511 70649 211947 635841 34603181 103809543 311428629 1072698611 1487936783 1833968593 3218095833 4463810349 5501905779 9654287499 13391431047 16505717337 46126040273 56853026383 78860649499 138378120819 170559079149 236581948497 415134362457 511677237447 709745845491 2444680134469 7334040403407 22002121210221