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211221101112 = 23373074095337
BaseRepresentation
bin1100010010110111000…
…0100011101000111000
3202012012100202200102220
43010231300203220320
511430040100213422
6241011133124040
721155153510340
oct3045560435070
9665170680386
10211221101112
118163a89458a
1234b29629620
1316bc1cab488
14a31a4a7d20
155763639e5c
hex312dc23a38

211221101112 has 64 divisors (see below), whose sum is σ = 605454769920. Its totient is φ = 60152295168.

The previous prime is 211221101099. The next prime is 211221101137. The reversal of 211221101112 is 211101122112.

It is a happy number.

It is a super-2 number, since 2×2112211011122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211221101091 and 211221101100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1996093 + ... + 2099244.

It is an arithmetic number, because the mean of its divisors is an integer number (9460230780).

Almost surely, 2211221101112 is an apocalyptic number.

It is an amenable number.

211221101112 is an abundant number, since it is smaller than the sum of its proper divisors (394233668808).

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

211221101112 is a wasteful number, since it uses less digits than its factorization.

211221101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095660 (or 4095656 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211221101112 its reverse (211101122112), we get a palindrome (422322223224).

The spelling of 211221101112 in words is "two hundred eleven billion, two hundred twenty-one million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 307 614 921 1228 1842 2149 2456 3684 4298 6447 7368 8596 12894 17192 25788 51576 4095337 8190674 12286011 16381348 24572022 28667359 32762696 49144044 57334718 86002077 98288088 114669436 172004154 229338872 344008308 688016616 1257268459 2514536918 3771805377 5029073836 7543610754 8800879213 10058147672 15087221508 17601758426 26402637639 30174443016 35203516852 52805275278 70407033704 105610550556 211221101112