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220012220021202 = 23372396192630857
BaseRepresentation
bin110010000001100110010110…
…001110000111100111010010
31001211222221222220012221221000
4302001212112032013213102
5212314140011311134302
62055532115113042430
764225233624655410
oct6201462616074722
91054887886187830
10220012220021202
116411472754a164
1220813a133b6416
13959c0a918169b
143c48910bb42b0
151a68051b5731c
hexc819963879d2

220012220021202 has 128 divisors (see below), whose sum is σ = 583115995238400. Its totient is φ = 60121289467008.

The previous prime is 220012220021131. The next prime is 220012220021233. The reversal of 220012220021202 is 202120022210022.

220012220021202 is a `hidden beast` number, since 220 + 0 + 1 + 2 + 220 + 0 + 21 + 202 = 666.

It is a super-3 number, since 3×2200122200212023 (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82312158 + ... + 84943014.

It is an arithmetic number, because the mean of its divisors is an integer number (4555593712800).

Almost surely, 2220012220021202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220012220021202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291557997619200).

220012220021202 is an abundant number, since it is smaller than the sum of its proper divisors (363103775217198).

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

220012220021202 is a wasteful number, since it uses less digits than its factorization.

220012220021202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640517 (or 2640511 counting only the distinct ones).

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

Adding to 220012220021202 its reverse (202120022210022), we get a palindrome (422132242231224).

The spelling of 220012220021202 in words is "two hundred twenty trillion, twelve billion, two hundred twenty million, twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 2898 4347 8694 9619 19238 28857 57714 67333 86571 134666 173142 201999 221237 259713 403998 442474 519426 605997 663711 1211994 1327422 1548659 1817991 1991133 2630857 3097318 3635982 3982266 4645977 5261714 5973399 7892571 9291954 11946798 13937931 15785142 18415999 23677713 27875862 36831998 41813793 47355426 55247997 60509711 71033139 83627586 110495994 121019422 142066278 165743991 181529133 331487982 363058266 423567977 497231973 544587399 847135954 994463946 1089174798 1270703931 1633762197 2541407862 3267524394 3812111793 7624223586 11436335379 22872670758 25306213483 50612426966 75918640449 151837280898 177143494381 227755921347 354286988762 455511842694 531430483143 582042910109 683267764041 1062860966286 1164085820218 1366535528082 1594291449429 1746128730327 3188582898858 3492257460654 4074300370763 4782874348287 5238386190981 8148600741526 9565748696574 10476772381962 12222901112289 15715158572943 24445802224578 31430317145886 36668703336867 73337406673734 110006110010601 220012220021202