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220001103231 = 371329373312269
BaseRepresentation
bin1100110011100100010…
…1100110110101111111
3210000212020220000002120
43030321011212311333
512101030240300411
6245022255054023
721615555344220
oct3147105466577
9700766800076
10220001103231
1185335984088
1236779b11313
1317990cc1cc0
14a9105b3247
155ac935c106
hex3339166d7f

220001103231 has 128 divisors (see below), whose sum is σ = 384899020800. Its totient is φ = 108637562880.

The previous prime is 220001103191. The next prime is 220001103251. The reversal of 220001103231 is 132301100022.

It is not a de Polignac number, because 220001103231 - 26 = 220001103167 is a prime.

It is a super-2 number, since 2×2200011032312 (a number of 23 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 220001103231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220001103251) 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 127 ways as a sum of consecutive naturals, for example, 96958365 + ... + 96960633.

It is an arithmetic number, because the mean of its divisors is an integer number (3007023600).

Almost surely, 2220001103231 is an apocalyptic number.

220001103231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

220001103231 is a deficient number, since it is larger than the sum of its proper divisors (164897917569).

220001103231 is a wasteful number, since it uses less digits than its factorization.

220001103231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 220001103231 its reverse (132301100022), we get a palindrome (352302203253).

The spelling of 220001103231 in words is "two hundred twenty billion, one million, one hundred three thousand, two hundred thirty-one".

Divisors: 1 3 7 13 21 29 37 39 87 91 111 203 259 273 331 377 481 609 777 993 1073 1131 1443 2269 2317 2639 3219 3367 4303 6807 6951 7511 7917 9599 10101 12247 12909 13949 15883 22533 28797 29497 30121 36741 41847 47649 65801 67193 83953 85729 88491 90363 97643 124787 159211 197403 201579 206479 251859 257187 292929 355163 374361 460607 477633 587671 619437 751039 855413 873509 1065489 1091389 1114477 1381821 1763013 2253117 2434637 2486141 2566239 2620527 3274167 3343431 4617119 5257273 5987891 7303911 7458423 7639723 9763507 13851357 15771819 17042459 17963673 21780131 22919169 27788443 29290521 31650281 32319833 51127377 65340393 68344549 83365329 94950843 96959499 152460917 194519101 205033647 221551967 283141703 361249759 457382751 583557303 664655901 805864847 849425109 1083749277 1981991921 2417594541 2528748313 5641053929 5945975763 7586244939 10476243011 16923161787 31428729033 73333701077 220001103231