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211112102221220 = 22510555605111061
BaseRepresentation
bin110000000000000101011101…
…110111000101010110100100
31000200111010020101101121122002
4300000011131313011112210
5210132330041132034340
62024555321052424432
762316226460616344
oct6000053567052644
91020433211347562
10211112102221220
11612a315a028282
121b816b33a78118
1390a4a2a5979c5
143a1bc47646d24
15196179c196715
hexc0015ddc55a4

211112102221220 has 12 divisors (see below), whose sum is σ = 443335414664604. Its totient is φ = 84444840888480.

The previous prime is 211112102221187. The next prime is 211112102221249. The reversal of 211112102221220 is 22122201211112.

It can be written as a sum of positive squares in 2 ways, for example, as 70489692722596 + 140622409498624 = 8395814^2 + 11858432^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 10555605111061 = 211112102221220 / (2 + 1 + 1 + 1 + 1 + 2 + 1 + 0 + 2 + 2 + 2 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 211112102221192 and 211112102221201.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5277802555511 + ... + 5277802555550.

It is an arithmetic number, because the mean of its divisors is an integer number (36944617888717).

Almost surely, 2211112102221220 is an apocalyptic number.

211112102221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211112102221220 is an abundant number, since it is smaller than the sum of its proper divisors (232223312443384).

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

211112102221220 is a wasteful number, since it uses less digits than its factorization.

211112102221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10555605111070 (or 10555605111068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211112102221220 its reverse (22122201211112), we get a palindrome (233234303432332).

The spelling of 211112102221220 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 10555605111061 21111210222122 42222420444244 52778025555305 105556051110610 211112102221220