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211222220120 = 2355280555503
BaseRepresentation
bin1100010010110111010…
…0110100110101011000
3202012012102212112102122
43010231310310311120
511430040342020440
6241011213120412
721155166150632
oct3045564646530
9665172775378
10211222220120
118164048928a
1234b29a89108
1316bc22b0902
14a31a6b9a52
1557637ab7b5
hex312dd34d58

211222220120 has 16 divisors (see below), whose sum is σ = 475249995360. Its totient is φ = 84488888032.

The previous prime is 211222220081. The next prime is 211222220129. The reversal of 211222220120 is 21022222112.

It is a happy number.

211222220120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112222201202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222220129) 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 3 ways as a sum of consecutive naturals, for example, 2640277712 + ... + 2640277791.

It is an arithmetic number, because the mean of its divisors is an integer number (29703124710).

Almost surely, 2211222220120 is an apocalyptic number.

211222220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222220120 is an abundant number, since it is smaller than the sum of its proper divisors (264027775240).

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

211222220120 is a wasteful number, since it uses less digits than its factorization.

211222220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280555514 (or 5280555510 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 211222220120 its reverse (21022222112), we get a palindrome (232244442232).

The spelling of 211222220120 in words is "two hundred eleven billion, two hundred twenty-two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5280555503 10561111006 21122222012 26402777515 42244444024 52805555030 105611110060 211222220120