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220211220001122 = 232723101752349589
BaseRepresentation
bin110010000100011111101011…
…100010110011000101100010
31001212200222122112210100202200
4302010133223202303011202
5212330420034310013442
62100203345441154030
764245510213616110
oct6204375342630542
91055628575710680
10220211220001122
1164191065883489
12208464b002b916
1395b4aa12574ac
143c543cc140ab0
151a6d2ec3e434c
hexc847eb8b3162

220211220001122 has 96 divisors (see below), whose sum is σ = 574626560451840. Its totient is φ = 59586087369600.

The previous prime is 220211220001093. The next prime is 220211220001127. The reversal of 220211220001122 is 221100022112022.

It is a happy number.

220211220001122 is a `hidden beast` number, since 220 + 211 + 2 + 200 + 0 + 11 + 22 = 666.

It is a super-3 number, since 3×2202112200011223 (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 a junction number, because it is equal to n+sod(n) for n = 220211220001095 and 220211220001104.

It is not an unprimeable number, because it can be changed into a prime (220211220001127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375882097 + ... + 376467492.

It is an arithmetic number, because the mean of its divisors is an integer number (5985693338040).

Almost surely, 2220211220001122 is an apocalyptic number.

220211220001122 is an abundant number, since it is smaller than the sum of its proper divisors (354415340450718).

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

220211220001122 is a wasteful number, since it uses less digits than its factorization.

220211220001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752349728 (or 752349725 counting only the distinct ones).

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

Adding to 220211220001122 its reverse (221100022112022), we get a palindrome (441311242113144).

The spelling of 220211220001122 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred twenty million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 101 126 138 161 202 207 303 322 414 483 606 707 909 966 1414 1449 1818 2121 2323 2898 4242 4646 6363 6969 12726 13938 16261 20907 32522 41814 48783 97566 146349 292698 752349589 1504699178 2257048767 4514097534 5266447123 6771146301 10532894246 13542292602 15799341369 17304040547 31598682738 34608081094 47398024107 51912121641 75987308489 94796048214 103824243282 121128283829 151974616978 155736364923 227961925467 242256567658 311472729846 363384851487 455923850934 531911159423 683885776401 726769702974 1063822318846 1090154554461 1367771552802 1595733478269 1747708095247 2180309108922 3191466956538 3495416190494 4787200434807 5243124285741 9574400869614 10486248571482 12233956666729 15729372857223 24467913333458 31458745714446 36701870000187 73403740000374 110105610000561 220211220001122