Search a number
-
+
201112012222221 = 317791371481246017
BaseRepresentation
bin101101101110100100001010…
…000011000110111100001101
3222101002010020220210221101110
4231232210022003012330031
5202330004400112102341
61551421325530402233
760234602100252222
oct5556441203067415
9871063226727343
10201112012222221
1159098141a13721
121a680a31b90379
13882aa208bab49
143793c325ab949
15183b5b93c7216
hexb6e90a0c6f0d

201112012222221 has 64 divisors (see below), whose sum is σ = 289812195578880. Its totient is φ = 123597178798080.

The previous prime is 201112012222111. The next prime is 201112012222237. The reversal of 201112012222221 is 122222210211102.

It is not a de Polignac number, because 201112012222221 - 211 = 201112012220173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201112012222321) 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, 817349005 + ... + 817595021.

It is an arithmetic number, because the mean of its divisors is an integer number (4528315555920).

Almost surely, 2201112012222221 is an apocalyptic number.

It is an amenable number.

201112012222221 is a deficient number, since it is larger than the sum of its proper divisors (88700183356659).

201112012222221 is a wasteful number, since it uses less digits than its factorization.

201112012222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247734.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 201112012222221 its reverse (122222210211102), we get a palindrome (323334222433323).

The spelling of 201112012222221 in words is "two hundred one trillion, one hundred twelve billion, twelve million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 17 51 79 137 237 411 1343 1481 2329 4029 4443 6987 10823 25177 32469 75531 116999 183991 202897 246017 350997 551973 608691 738051 1988983 3449249 4182289 5966949 10347747 12546867 16028863 19435343 33704329 48086589 58306029 101112987 272490671 330400831 364351177 572973593 817472013 991202493 1093053531 1718920779 2662641991 6193970009 7987925973 18581910027 28783742983 45264913847 49916111249 86351228949 135794741541 149748333747 489323630711 848573891233 1467970892133 2545721673699 3943372788671 11830118366013 67037337407407 201112012222221