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212121100200222 = 23211784505566679
BaseRepresentation
bin110000001110110001001010…
…110100111010100100011110
31000211001120122012002201211200
4300032301022310322210132
5210300343003122401342
62031051031013100330
762452146415131333
oct6016611264724436
91024046565081750
10212121100200222
1161652065093a54
121b95a5a73276a6
139148c1aa86975
143a54a04ada98a
15197cb5383a94c
hexc0ec4ad3a91e

212121100200222 has 12 divisors (see below), whose sum is σ = 459595717100520. Its totient is φ = 70707033400068.

The previous prime is 212121100200199. The next prime is 212121100200257. The reversal of 212121100200222 is 222002001121212.

It is a happy number.

212121100200222 is a `hidden beast` number, since 2 + 121 + 21 + 100 + 200 + 222 = 666.

It is a super-3 number, since 3×2121211002002223 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 11784505566679 = 212121100200222 / (2 + 1 + 2 + 1 + 2 + 1 + 1 + 0 + 0 + 2 + 0 + 0 + 2 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 212121100200195 and 212121100200204.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5892252783322 + ... + 5892252783357.

It is an arithmetic number, because the mean of its divisors is an integer number (38299643091710).

Almost surely, 2212121100200222 is an apocalyptic number.

212121100200222 is an abundant number, since it is smaller than the sum of its proper divisors (247474616900298).

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

212121100200222 is a wasteful number, since it uses less digits than its factorization.

212121100200222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11784505566687 (or 11784505566684 counting only the distinct ones).

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

Adding to 212121100200222 its reverse (222002001121212), we get a palindrome (434123101321434).

The spelling of 212121100200222 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred million, two hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 11784505566679 23569011133358 35353516700037 70707033400074 106060550100111 212121100200222