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211100200112022 = 231334071573150497
BaseRepresentation
bin101111111111111010011000…
…011100001000111110010110
31000200102222111220110211012220
4233333322120130020332112
5210132131202212041042
62024550032041123210
762315325515431464
oct5777723034107626
91020388456424186
10211100200112022
11612991016574a1
121b814771a89506
1390a38817b8940
143a1b438a2b834
1519613023108ec
hexbffe98708f96

211100200112022 has 64 divisors (see below), whose sum is σ = 454848726979584. Its totient is φ = 64929429227520.

The previous prime is 211100200112017. The next prime is 211100200112033. The reversal of 211100200112022 is 220211002001112.

It is a junction number, because it is equal to n+sod(n) for n = 211100200111992 and 211100200112010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4180425078 + ... + 4180475574.

It is an arithmetic number, because the mean of its divisors is an integer number (7107011359056).

Almost surely, 2211100200112022 is an apocalyptic number.

211100200112022 is an abundant number, since it is smaller than the sum of its proper divisors (243748526867562).

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

211100200112022 is a wasteful number, since it uses less digits than its factorization.

211100200112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69653.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211100200112022 its reverse (220211002001112), we get a palindrome (431311202113134).

The spelling of 211100200112022 in words is "two hundred eleven trillion, one hundred billion, two hundred million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 3407 6814 10221 15731 20442 31462 44291 47193 50497 88582 94386 100994 132873 151491 204503 265746 302982 409006 613509 656461 1227018 1312922 1969383 3938766 53595517 107191034 160786551 172043279 321573102 344086558 516129837 696741721 794368307 1032259674 1393483442 1588736614 2090225163 2236562627 2383104921 4180450326 4473125254 4766209842 6709687881 10326787991 13419375762 20653575982 30980363973 61960727946 2706412821949 5412825643898 8119238465847 16238476931694 35183366685337 70366733370674 105550100056011 211100200112022