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22112221011100 = 22521132563617327
BaseRepresentation
bin1010000011100011001110…
…00101000001110010011100
32220021220111200221101110021
411001301213011001302130
510344241312034323400
6115010114124521524
74441361310256303
oct501614705016234
986256450841407
1022112221011100
1170558163294a0
1225915b60b02a4
13c4523422204c
14566346c7b43a
152852c9e2871a
hex141c67141c9c

22112221011100 has 72 divisors (see below), whose sum is σ = 52347350055168. Its totient is φ = 8040547684800.

The previous prime is 22112221011077. The next prime is 22112221011107. The reversal of 22112221011100 is 111012221122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112221011107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35510637 + ... + 36127963.

It is an arithmetic number, because the mean of its divisors is an integer number (727046528544).

Almost surely, 222112221011100 is an apocalyptic number.

22112221011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112221011100 is an abundant number, since it is smaller than the sum of its proper divisors (30235129044068).

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

22112221011100 is a wasteful number, since it uses less digits than its factorization.

22112221011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649915 (or 649908 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22112221011100 its reverse (111012221122), we get a palindrome (22223233232222).

The spelling of 22112221011100 in words is "twenty-two trillion, one hundred twelve billion, two hundred twenty-one million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 32563 65126 130252 162815 325630 358193 617327 651260 716386 814075 1234654 1432772 1628150 1790965 2469308 3086635 3256300 3581930 6173270 6790597 7163860 8954825 12346540 13581194 15433175 17909650 27162388 30866350 33952985 35819300 61732700 67905970 135811940 169764925 339529850 679059700 20102019101 40204038202 80408076404 100510095505 201020191010 221122210111 402040382020 442244420222 502550477525 884488840444 1005100955050 1105611050555 2010201910100 2211222101110 4422444202220 5528055252775 11056110505550 22112221011100