Search a number
-
+
11011212100221 = 3193713982145751
BaseRepresentation
bin1010000000111011111101…
…1000101100001001111101
31102222122212022012101100120
42200032333120230021331
52420401430244201341
635230251521445153
72214351046361214
oct240167730541175
942878768171316
1011011212100221
113565913194843
12129a0687a07b9
1361b478281498
142a0d3469807b
15141660b93066
hexa03bf62c27d

11011212100221 has 64 divisors (see below), whose sum is σ = 16006026086400. Its totient is φ = 6709482720000.

The previous prime is 11011212100193. The next prime is 11011212100243. The reversal of 11011212100221 is 12200121211011.

It is a happy number.

It is not a de Polignac number, because 11011212100221 - 29 = 11011212099709 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11011212100221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011212000221) 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 63 ways as a sum of consecutive naturals, for example, 240654096 + ... + 240699846.

It is an arithmetic number, because the mean of its divisors is an integer number (250094157600).

Almost surely, 211011212100221 is an apocalyptic number.

It is an amenable number.

11011212100221 is a deficient number, since it is larger than the sum of its proper divisors (4994813986179).

11011212100221 is a wasteful number, since it uses less digits than its factorization.

11011212100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46770.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11011212100221 its reverse (12200121211011), we get a palindrome (23211333311232).

The spelling of 11011212100221 in words is "eleven trillion, eleven billion, two hundred twelve million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 19 37 57 111 139 417 703 821 2109 2463 2641 5143 7923 15429 15599 30377 45751 46797 91131 97717 114119 137253 293151 342357 577163 869269 1692787 1731489 2168261 2607807 4222403 5078361 6359389 6504783 12667209 19078167 32162953 37561571 80225657 96488859 112684713 120828391 235297393 240676971 362485173 705892179 713669849 1389778127 2141009547 4169334381 4470650467 5221058369 13411951401 15663175107 26405784413 79217353239 99200109011 193179159653 297600327033 579537478959 3670404033407 11011212100221