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220212020122011 = 325310176916373631
BaseRepresentation
bin110010000100100000011011…
…001111000001000110011011
31001212201001201022100201021200
4302010200123033001012123
5212330423204122401021
62100204001102405243
764245536100545061
oct6204403317010633
91055631638321250
10220212020122011
1164191436497115
1220846693b90823
1395b4b9ac503c8
143c544664dc031
151a6d347792126
hexc8481b3c119b

220212020122011 has 96 divisors (see below), whose sum is σ = 328010500097280. Its totient is φ = 142300274688000.

The previous prime is 220212020121979. The next prime is 220212020122033. The reversal of 220212020122011 is 110221020212022.

It is a happy number.

220212020122011 is a `hidden beast` number, since 2 + 20 + 212 + 0 + 201 + 220 + 11 = 666.

It is not a de Polignac number, because 220212020122011 - 25 = 220212020121979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220212020122811) 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, 60647759166 + ... + 60647762796.

It is an arithmetic number, because the mean of its divisors is an integer number (3416776042680).

Almost surely, 2220212020122011 is an apocalyptic number.

220212020122011 is a deficient number, since it is larger than the sum of its proper divisors (107798479975269).

220212020122011 is a wasteful number, since it uses less digits than its factorization.

220212020122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6197 (or 6194 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220212020122011 its reverse (110221020212022), we get a palindrome (330433040334033).

The spelling of 220212020122011 in words is "two hundred twenty trillion, two hundred twelve billion, twenty million, one hundred twenty-two thousand, eleven".

Divisors: 1 3 9 53 101 159 303 477 769 909 1637 2307 3631 4911 5353 6921 10893 14733 16059 32679 40757 48177 77669 86761 122271 165337 192443 233007 260283 366731 366813 496011 577329 699021 780849 1100193 1258853 1488033 1731987 2792239 3300579 3776559 4116457 5943947 8376717 8762861 11329677 12349371 17831841 19436743 25130151 26288583 37048113 53495523 58310229 66719209 78865749 127144153 147988667 174930687 200157627 282016139 315029191 381432459 443966001 600338647 600472881 846048417 945087573 1144297377 1331898003 1801015941 2538145251 2835262719 4570895243 5403047823 6738640109 13712685729 14946855367 20215920327 31817948291 41138057187 44840566101 60647760981 95453844873 134521698303 242257447879 286361534619 461660419543 726772343637 1384981258629 2180317030911 4154943775887 24468002235779 73404006707337 220212020122011