Search a number
-
+
111001001212221 = 341227181221057
BaseRepresentation
bin11001001111010001101111…
…001111110011100100111101
3112120000120222121221001120020
4121033101233033303210331
5104022120022302242341
61032025053405442353
732244362200445631
oct3117215717634475
9476016877831506
10111001001212221
11324062954376aa
12105488a28703b9
1349c2470b0cb63
141d5a69732cdc1
15cc75cdce9566
hex64f46f3f393d

111001001212221 has 24 divisors (see below), whose sum is σ = 152258944632192. Its totient is φ = 71929367193600.

The previous prime is 111001001212207. The next prime is 111001001212271. The reversal of 111001001212221 is 122212100100111.

It is a happy number.

It is not a de Polignac number, because 111001001212221 - 27 = 111001001212093 is a prime.

It is a super-2 number, since 2×1110010012122212 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111001001212221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001001212271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39243876 + ... + 41977181.

It is an arithmetic number, because the mean of its divisors is an integer number (6344122693008).

Almost surely, 2111001001212221 is an apocalyptic number.

It is an amenable number.

111001001212221 is a deficient number, since it is larger than the sum of its proper divisors (41257943419971).

111001001212221 is an equidigital number, since it uses as much as digits as its factorization.

111001001212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81221413 (or 81221372 counting only the distinct ones).

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

Adding to 111001001212221 its reverse (122212100100111), we get a palindrome (233213101312332).

The spelling of 111001001212221 in words is "one hundred eleven trillion, one billion, one million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 41 123 271 813 1681 5043 11111 33333 455551 1366653 81221057 243663171 3330063337 9990190011 22010906447 66032719341 136532596817 409597790451 902447164327 2707341492981 37000333737407 111001001212221