Search a number
-
+
222020111122101 = 325310126091766357
BaseRepresentation
bin110010011110110100010101…
…110110110011111010110101
31002010002220201021120021022100
4302132310111312303322311
5213100034141421401401
62104110344143452313
764523265216505515
oct6236642566637265
91063086637507270
10222020111122101
1164819222748936
1220a98b99bb7099
1396b653951a916
143cb7b8b6a1845
151aa03bc7bdb86
hexc9ed15db3eb5

222020111122101 has 48 divisors (see below), whose sum is σ = 330108358385520. Its totient is φ = 143727681177600.

The previous prime is 222020111122027. The next prime is 222020111122123. The reversal of 222020111122101 is 101221111020222.

It can be written as a sum of positive squares in 8 ways, for example, as 87876113099076 + 134143998023025 = 9374226^2 + 11582055^2 .

It is not a de Polignac number, because 222020111122101 - 223 = 222020102733493 is a prime.

It is a super-2 number, since 2×2220201111221012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222020111122181) 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 47 ways as a sum of consecutive naturals, for example, 124810615 + ... + 126576971.

It is an arithmetic number, because the mean of its divisors is an integer number (6877257466365).

Almost surely, 2222020111122101 is an apocalyptic number.

It is an amenable number.

222020111122101 is a deficient number, since it is larger than the sum of its proper divisors (108088247263419).

222020111122101 is a wasteful number, since it uses less digits than its factorization.

222020111122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769126 (or 1769123 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 222020111122101 its reverse (101221111020222), we get a palindrome (323241222142323).

The spelling of 222020111122101 in words is "two hundred twenty-two trillion, twenty billion, one hundred eleven million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 53 101 159 303 477 909 2609 5353 7827 16059 23481 48177 138277 263509 414831 790527 1244493 1766357 2371581 5299071 13965977 15897213 41897931 93616921 125693793 178402057 280850763 535206171 842552289 1605618513 4608425413 9455309021 13825276239 28365927063 41475828717 85097781189 244246546889 465450966713 732739640667 1396352900139 2198218922001 4189058700417 24668901235789 74006703707367 222020111122101