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212200101212022 = 232711153102526127
BaseRepresentation
bin110000001111111010101111…
…101001110110111101110110
31000211100010112220102221122200
4300033322233221312331312
5210303141301402241042
62031151214123005330
762460644216505030
oct6017725751667566
91024303486387580
10212200101212022
11616826150a8450
121b971974669846
1391534cac46cb1
143a5877ad0cc50
15197ec29277c4c
hexc0feafa76f76

212200101212022 has 48 divisors (see below), whose sum is σ = 573215857823232. Its totient is φ = 55116909405360.

The previous prime is 212200101211999. The next prime is 212200101212023. The reversal of 212200101212022 is 220212101002212.

It is a happy number.

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 = 212200101211986 and 212200101212004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212200101212023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76551261678 + ... + 76551264449.

It is an arithmetic number, because the mean of its divisors is an integer number (11941997037984).

Almost surely, 2212200101212022 is an apocalyptic number.

212200101212022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212200101212022 is an abundant number, since it is smaller than the sum of its proper divisors (361015756611210).

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

212200101212022 is a wasteful number, since it uses less digits than its factorization.

212200101212022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153102526153 (or 153102526150 counting only the distinct ones).

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

Adding to 212200101212022 its reverse (220212101002212), we get a palindrome (432412202214234).

The spelling of 212200101212022 in words is "two hundred twelve trillion, two hundred billion, one hundred one million, two hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 153102526127 306205052254 459307578381 918615156762 1071717682889 1377922735143 1684127787397 2143435365778 2755845470286 3215153048667 3368255574794 5052383362191 6430306097334 9645459146001 10104766724382 11788894511779 15157150086573 19290918292002 23577789023558 30314300173146 35366683535337 70733367070674 106100050606011 212200101212022