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12102222202301 = 711191011094671609
BaseRepresentation
bin1011000000011100010010…
…1001111100010110111101
31120211221221200012000112002
42300013010221330112331
53041240322340433201
641423403434352045
72356233230260640
oct260070451742675
946757850160462
1012102222202301
113946583a24430
1214355a988b625
1369a30870561a
142dba71c19a57
1515ec172b076b
hexb01c4a7c5bd

12102222202301 has 128 divisors (see below), whose sum is σ = 16231767552000. Its totient is φ = 8740161792000.

The previous prime is 12102222202277. The next prime is 12102222202303. The reversal of 12102222202301 is 10320222220121.

12102222202301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12102222202301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102222202303) 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, 7521579185 + ... + 7521580793.

It is an arithmetic number, because the mean of its divisors is an integer number (126810684000).

Almost surely, 212102222202301 is an apocalyptic number.

12102222202301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12102222202301 is a deficient number, since it is larger than the sum of its proper divisors (4129545349699).

12102222202301 is a wasteful number, since it uses less digits than its factorization.

12102222202301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12102222202301 its reverse (10320222220121), we get a palindrome (22422444422422).

The spelling of 12102222202301 in words is "twelve trillion, one hundred two billion, two hundred twenty-two million, two hundred two thousand, three hundred one".

Divisors: 1 7 11 19 77 101 109 133 209 467 707 763 1111 1199 1463 1609 1919 2071 3269 5137 7777 8393 8873 11009 11263 13433 14497 17699 21109 22781 30571 35959 47167 50903 62111 77063 97603 121099 123893 147763 159467 162509 175381 209171 213997 330169 336281 356321 518837 559933 683221 751403 847693 896173 967157 1137563 1227667 1464197 1787599 1929191 2300881 2353967 3087671 3332239 3631859 3919531 5141203 5259821 6273211 6770099 8265433 9857903 10638727 12513193 13504337 14276657 16106167 17713481 21613697 23325673 33964381 35988421 36654629 56553233 57858031 69005321 74471089 75891703 81902927 97682857 99936599 123994367 157043227 194848291 237750667 256582403 336556139 395872631 531241921 573320489 683779999 834808733 900932197 1074511427 1099302589 1363938037 1441942357 1556155613 2355892973 3702117529 5843661131 6306525379 7521579989 8272195627 10093596499 10893089291 15861365927 17117711743 25914822703 57905369389 90994151897 111029561489 119823982201 157171716913 636959063279 1100202018391 1728888886043 12102222202301