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220020210312201 = 321329677912251149
BaseRepresentation
bin110010000001101101110010…
…011110101010010000001001
31001212000201121202100210120200
4302001231302132222100021
5212314302342314442301
62055535520024442413
764225635630220425
oct6201556236522011
91055021552323520
10220020210312201
1164118057896042
1220815483319409
13959ca806a5520
143c4906c071b85
151a6836d385c86
hexc81b727aa409

220020210312201 has 96 divisors (see below), whose sum is σ = 363888557760000. Its totient is φ = 127146922366464.

The previous prime is 220020210312127. The next prime is 220020210312239. The reversal of 220020210312201 is 102213012020022.

220020210312201 is a `hidden beast` number, since 2 + 200 + 2 + 0 + 210 + 31 + 220 + 1 = 666.

It is not a de Polignac number, because 220020210312201 - 214 = 220020210295817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220020210312281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11833575 + ... + 24084723.

It is an arithmetic number, because the mean of its divisors is an integer number (3790505810000).

Almost surely, 2220020210312201 is an apocalyptic number.

It is an amenable number.

220020210312201 is a deficient number, since it is larger than the sum of its proper divisors (143868347447799).

220020210312201 is a wasteful number, since it uses less digits than its factorization.

220020210312201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12251343 (or 12251340 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220020210312201 its reverse (102213012020022), we get a palindrome (322233222332223).

The spelling of 220020210312201 in words is "two hundred twenty trillion, twenty billion, two hundred ten million, three hundred twelve thousand, two hundred one".

Divisors: 1 3 9 13 29 39 67 79 87 117 201 237 261 377 603 711 871 1027 1131 1943 2291 2613 3081 3393 5293 5829 6873 7839 9243 15879 17487 20619 25259 29783 47637 68809 75777 89349 153497 206427 227331 268047 460491 619281 1381473 1995461 5986383 12251149 17959149 36753447 110260341 159264937 355283321 477794811 820826983 967840771 1065849963 1433384433 2462480949 2903522313 3197549889 4618683173 7387442847 8710566939 10670750779 12581930023 13856049519 23803982507 28067382359 32012252337 37745790069 41568148557 64845331657 71411947521 84202147077 96036757011 113237370207 194535994971 214235842563 252606441231 309451772591 364875970667 583607984913 842989311541 928355317773 1094627912001 1880514618053 2528967934623 2785065953319 3283883736003 5641543854159 7586903803869 16924631562477 24446690034689 73340070104067 220020210312201