Search a number
-
+
11201100001221 = 31331531481118033
BaseRepresentation
bin1010001011111111010110…
…0101100010111111000101
31110122210222220210012210210
42202333311211202333011
52432004323100014341
635453414142310033
72234152462040064
oct242776545427705
943583886705723
1011201100001221
1136293a5a36329
12130aa21888319
1363334a5c4610
142aa1c97961db
151465764b4c16
hexa2ff5962fc5

11201100001221 has 64 divisors (see below), whose sum is σ = 16927276713984. Its totient is φ = 6540294758400.

The previous prime is 11201100001219. The next prime is 11201100001237. The reversal of 11201100001221 is 12210000110211.

It is not a de Polignac number, because 11201100001221 - 21 = 11201100001219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11201100001197 and 11201100001206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201100001621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94839021 + ... + 94957053.

It is an arithmetic number, because the mean of its divisors is an integer number (264488698656).

Almost surely, 211201100001221 is an apocalyptic number.

It is an amenable number.

11201100001221 is a deficient number, since it is larger than the sum of its proper divisors (5726176712763).

11201100001221 is a wasteful number, since it uses less digits than its factorization.

11201100001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119614.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11201100001221 its reverse (12210000110211), we get a palindrome (23411100111432).

The spelling of 11201100001221 in words is "eleven trillion, two hundred one billion, one hundred million, one thousand, two hundred twenty-one".

Divisors: 1 3 13 31 39 53 93 159 403 689 1209 1481 1643 2067 4443 4929 19253 21359 45911 57759 64077 78493 118033 137733 235479 354099 596843 1020409 1534429 1790529 2433283 3061227 3659023 4603287 6255749 7299849 10977069 18767247 31632679 47567299 81324737 94898037 142701897 174806873 193928219 243974211 524420619 581784657 2272489349 2521066847 5419013063 6817468047 7563200541 9264764269 16257039189 27794292807 70447169819 120441935497 211341509457 287207692339 361325806491 861623077017 3733700000407 11201100001221