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2220222102021 = 3371153101319891
BaseRepresentation
bin100000010011101111100…
…011001011101000000101
321212020210002120202102000
4200103233203023220011
5242334003324231041
64415542252535513
7316256113325520
oct40235743135005
97766702522360
102220222102021
1178665554a5a0
122ba363a81599
1313149b283591
147966054dbb7
153cb46940bb6
hex204ef8cba05

2220222102021 has 128 divisors (see below), whose sum is σ = 4182552391680. Its totient is φ = 1130426668800.

The previous prime is 2220222101917. The next prime is 2220222102053. The reversal of 2220222102021 is 1202012220222.

It is a de Polignac number, because none of the positive numbers 2k-2220222102021 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2220222101985 and 2220222102003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220222101021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111609486 + ... + 111629376.

It is an arithmetic number, because the mean of its divisors is an integer number (32676190560).

Almost surely, 22220222102021 is an apocalyptic number.

2220222102021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2220222102021 is a deficient number, since it is larger than the sum of its proper divisors (1962330289659).

2220222102021 is a wasteful number, since it uses less digits than its factorization.

2220222102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20984 (or 20978 counting only the distinct ones).

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

Adding to 2220222102021 its reverse (1202012220222), we get a palindrome (3422234322243).

The spelling of 2220222102021 in words is "two trillion, two hundred twenty billion, two hundred twenty-two million, one hundred two thousand, twenty-one".

Divisors: 1 3 7 9 11 21 27 33 53 63 77 99 159 189 231 297 371 477 583 693 1013 1113 1431 1749 2079 3039 3339 4081 5247 7091 9117 10017 11143 12243 15741 19891 21273 27351 33429 36729 53689 59673 63819 78001 100287 110187 139237 161067 179019 191457 218801 234003 300861 375823 417711 483201 537057 590579 656403 702009 1054223 1127469 1253133 1449603 1531607 1771737 1969209 2106027 3162669 3382407 3759399 4134053 4594821 5315211 5907627 7379561 9488007 10147221 11596453 12402159 13784463 15945633 20149583 22138683 28464021 34789359 37206477 41353389 60448749 66416049 81175171 104368077 111619431 141047081 181346247 199248147 221645413 243525513 313104231 423141243 544038741 664936239 730576539 1067927899 1269423729 1551517891 1994808717 2191729617 3203783697 3808271187 4654553673 5984426151 7475495293 9611351091 11747206889 13963661019 22426485879 28834053273 35241620667 41890983057 67279457637 82230448223 105724862001 201838372911 246691344669 317174586003 740074034007 2220222102021