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20110202222022 = 232115316371170649
BaseRepresentation
bin1001001001010010001010…
…11101011011010111000110
32122012111221120101102111100
410210221011131123113012
510113441143232101042
6110434255510120530
74143625362322623
oct444510535332706
978174846342440
1020110202222022
116453763978590
1223095aa050146
13b2b4cb665433
144d74a624134a
1524d1a4ac624c
hex124a4575b5c6

20110202222022 has 96 divisors (see below), whose sum is σ = 48459684218400. Its totient is φ = 5975361999360.

The previous prime is 20110202222009. The next prime is 20110202222051. The reversal of 20110202222022 is 22022220201102.

It is a super-3 number, since 3×201102022220223 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20110202221986 and 20110202222004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16593354 + ... + 17764002.

It is an arithmetic number, because the mean of its divisors is an integer number (504788377275).

Almost surely, 220110202222022 is an apocalyptic number.

20110202222022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20110202222022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24229842109200).

20110202222022 is an abundant number, since it is smaller than the sum of its proper divisors (28349481996378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20110202222022 is a wasteful number, since it uses less digits than its factorization.

20110202222022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172358 (or 1172355 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20110202222022 its reverse (22022220201102), we get a palindrome (42132422423124).

The spelling of 20110202222022 in words is "twenty trillion, one hundred ten billion, two hundred two million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 954 1166 1637 1749 3274 3498 4911 5247 9822 10494 14733 18007 29466 36014 54021 86761 108042 162063 173522 260283 324126 520566 780849 954371 1170649 1561698 1908742 2341298 2863113 3511947 5726226 7023894 8589339 10535841 12877139 17178678 21071682 25754278 38631417 62044397 77262834 115894251 124088794 186133191 231788502 372266382 558399573 682488367 1116799146 1364976734 1916352413 2047465101 3832704826 4094930202 5749057239 6142395303 11498114478 12284790606 17247171717 21079876543 34494343434 42159753086 63239629629 101566677889 126479259258 189718888887 203133355778 304700033667 379437777774 609400067334 914100101001 1117233456779 1828200202002 2234466913558 3351700370337 6703400740674 10055101111011 20110202222022