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211222200100 = 225217196539387
BaseRepresentation
bin1100010010110111010…
…0101111111100100100
3202012012102211111222011
43010231310233330210
511430040340400400
6241011212444004
721155166035362
oct3045564577444
9665172744864
10211222200100
118164047523a
1234b29a79604
1316bc22a4772
14a31a6b2632
1557637a58ba
hex312dd2ff24

211222200100 has 72 divisors (see below), whose sum is σ = 510856990560. Its totient is φ = 75333726720.

The previous prime is 211222200029. The next prime is 211222200103. The reversal of 211222200100 is 1002222112.

It is a happy number.

It is a super-2 number, since 2×2112222001002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211222200103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3237394 + ... + 3301993.

It is an arithmetic number, because the mean of its divisors is an integer number (7095235980).

Almost surely, 2211222200100 is an apocalyptic number.

211222200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222200100 is an abundant number, since it is smaller than the sum of its proper divisors (299634790460).

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

211222200100 is a wasteful number, since it uses less digits than its factorization.

211222200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6539437 (or 6539430 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 211222200100 its reverse (1002222112), we get a palindrome (212224422212).

It can be divided in two parts, 21122 and 2200100, that added together give a palindrome (2221222).

The spelling of 211222200100 in words is "two hundred eleven billion, two hundred twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 3230 6460 8075 16150 32300 6539387 13078774 26157548 32696935 65393870 111169579 124248353 130787740 163484675 222339158 248496706 326969350 444678316 496993412 555847895 621241765 653938700 1111695790 1242483530 2112222001 2223391580 2484967060 2779239475 3106208825 4224444002 5558478950 6212417650 8448888004 10561110005 11116957900 12424835300 21122220010 42244440020 52805550025 105611100050 211222200100