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22100122121112 = 2332743849448653
BaseRepresentation
bin1010000011001100101011…
…11011011011001110011000
32220020202021111202002112200
411001212111323123032120
510344042022230333422
6115000353403410200
74440452425352460
oct501462573331630
986222244662480
1022100122121112
117050677874362
12258b19a223960
13c44056745049
1456591a07aba0
15284d1cb722ac
hex141995edb398

22100122121112 has 48 divisors (see below), whose sum is σ = 68405139900240. Its totient is φ = 6314320605888.

The previous prime is 22100122121083. The next prime is 22100122121131. The reversal of 22100122121112 is 21112122100122.

22100122121112 is a `hidden beast` number, since 221 + 0 + 0 + 1 + 221 + 211 + 12 = 666.

It is a super-2 number, since 2×221001221211122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 21924723823 + ... + 21924724830.

It is an arithmetic number, because the mean of its divisors is an integer number (1425107081255).

Almost surely, 222100122121112 is an apocalyptic number.

It is an amenable number.

22100122121112 is an abundant number, since it is smaller than the sum of its proper divisors (46305017779128).

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

22100122121112 is a wasteful number, since it uses less digits than its factorization.

22100122121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43849448672 (or 43849448665 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22100122121112 its reverse (21112122100122), we get a palindrome (43212244221234).

The spelling of 22100122121112 in words is "twenty-two trillion, one hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 43849448653 87698897306 131548345959 175397794612 263096691918 306946140571 350795589224 394645037877 526193383836 613892281142 789290075754 920838421713 1052386767672 1227784562284 1578580151508 1841676843426 2455569124568 2762515265139 3157160303016 3683353686852 5525030530278 7366707373704 11050061060556 22100122121112