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20220033330321 = 311172310331694801
BaseRepresentation
bin1001001100011110101111…
…11001110110110010010001
32122121000102212222211000020
410212033113321312302101
510122241112013032241
6111000542144014053
74154564163331506
oct446172771666221
978530385884006
1020220033330321
1164962a4752880
122326940301329
13b38982b7a606
144dc924c1d4ad
15250e81e5bb66
hex1263d7e76c91

20220033330321 has 128 divisors (see below), whose sum is σ = 32827645992960. Its totient is φ = 10919411712000.

The previous prime is 20220033330319. The next prime is 20220033330379. The reversal of 20220033330321 is 12303333002202.

It is not a de Polignac number, because 20220033330321 - 21 = 20220033330319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20220033330291 and 20220033330300.

It is not an unprimeable number, because it can be changed into a prime (20220033330121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4211627121 + ... + 4211631921.

It is an arithmetic number, because the mean of its divisors is an integer number (256465984320).

Almost surely, 220220033330321 is an apocalyptic number.

It is an amenable number.

20220033330321 is a deficient number, since it is larger than the sum of its proper divisors (12607612662639).

20220033330321 is a wasteful number, since it uses less digits than its factorization.

20220033330321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8127.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 20220033330321 its reverse (12303333002202), we get a palindrome (32523366332523).

The spelling of 20220033330321 in words is "twenty trillion, two hundred twenty billion, thirty-three million, three hundred thirty thousand, three hundred twenty-one".

Divisors: 1 3 11 17 23 33 51 69 103 187 253 309 391 561 759 1133 1173 1751 2369 3169 3399 4301 4801 5253 7107 9507 12903 14403 19261 26059 34859 40273 52811 53873 57783 72887 78177 81617 104577 110423 120819 158433 161619 218661 244851 326407 331269 443003 494503 592603 801757 897787 979221 1214653 1239079 1329009 1483509 1777809 1877191 2405271 2693361 3590477 3643959 3717237 5439533 5548919 5631573 7507361 8406551 10771431 11373569 13629869 15214369 16318599 16646757 20649101 22522083 25219653 34120707 40889607 45643107 61038109 61947303 82580971 92472061 125109259 127625137 167358059 183114327 193350673 247742913 258644273 277416183 349930487 375327777 382875411 502074177 580052019 775932819 1049791461 1403876507 1567080007 2126857403 2845087003 3849235357 4211629521 4701240021 5948818279 6380572209 8535261009 11547706071 17237880077 17846454837 26640360119 36042840161 51713640231 65437001069 79921080357 108128520483 196311003207 293043961309 396471241771 612728282737 879131883927 1189413725313 1838184848211 6740011110107 20220033330321