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275642101212023 = 721325318126912899
BaseRepresentation
bin111110101011000111101101…
…100001110010001101110111
31100010222010102222002011210102
4332223013231201302031313
5242112110010402241043
62414124122210544315
7112026325141064300
oct7653075541621567
91303863388064712
10275642101212023
117a912182183227
1226ab9351b9809b
13baa5c28190300
144c0d2127677a7
1521d013c3126b8
hexfab1ed872377

275642101212023 has 144 divisors (see below), whose sum is σ = 357062768244000. Its totient is φ = 211985865262080.

The previous prime is 275642101212011. The next prime is 275642101212031. The reversal of 275642101212023 is 320212101246572.

It is not a de Polignac number, because 275642101212023 - 214 = 275642101195639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275642101212043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21369254828 + ... + 21369267726.

It is an arithmetic number, because the mean of its divisors is an integer number (2479602557250).

Almost surely, 2275642101212023 is an apocalyptic number.

275642101212023 is a deficient number, since it is larger than the sum of its proper divisors (81420667031977).

275642101212023 is a wasteful number, since it uses less digits than its factorization.

275642101212023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13442 (or 13422 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

Adding to 275642101212023 its reverse (320212101246572), we get a palindrome (595854202458595).

The spelling of 275642101212023 in words is "two hundred seventy-five trillion, six hundred forty-two billion, one hundred one million, two hundred twelve thousand, twenty-three".

Divisors: 1 7 13 49 53 91 169 181 269 371 637 689 1183 1267 1883 2353 2597 3497 4823 8281 8869 8957 9593 12899 13181 14257 16471 24479 30589 33761 45461 48689 62699 67151 90293 99799 115297 124709 167687 171353 185341 214123 318227 340823 438893 470057 632051 632957 683647 698593 872963 1173809 1297387 1498861 1621217 2179931 2227589 2334719 2385761 2409433 2580517 3469831 4430699 4785529 6110741 8216663 8228441 8887411 9081709 11348519 15259517 16343033 16866031 18063619 24288817 30351347 31014893 33498703 33546721 45107803 57599087 62211877 79439633 106816619 114401231 115536343 118062217 123740107 126445333 170021719 183901043 212459429 234827047 315754621 394567511 403193609 435483139 436107373 586401439 628039411 808754401 866180749 1287307301 1487216003 1608621391 1643789329 2210282347 2390713559 2761972577 3052751611 4104810073 4396275877 5661280807 6063265243 8164512343 9011151107 11260349737 16734994913 19333808039 20912078083 21369261277 28733670511 30773931139 31079276267 33286088783 57151586401 78822448159 106138660459 117144964391 146384546581 217554933869 233002621481 400061104807 432719154179 742970623213 1024691826067 1522884537083 1631018350367 3029034079253 5200794362491 5625349004327 21203238554771 39377443030289 275642101212023