Search a number
-
+
220110111220100 = 22527817281578753
BaseRepresentation
bin110010000011000001100000…
…111111011010000110000100
31001212100022200002210002220012
4302003001200333122012010
5212322241001433020400
62100045104505125352
764235300514302633
oct6203014077320604
91055308602702805
10220110111220100
11641521a0585832
122082a992a89858
1395a83a9b1130a
143c4d559b3751a
151a6a880b8bd35
hexc83060fda184

220110111220100 has 36 divisors (see below), whose sum is σ = 477700045633524. Its totient is φ = 88032781025280.

The previous prime is 220110111220093. The next prime is 220110111220147. The reversal of 220110111220100 is 1022111011022.

It can be written as a sum of positive squares in 6 ways, for example, as 28850283592516 + 191259827627584 = 5371246^2 + 13829672^2 .

It is a super-2 number, since 2×2201101112201002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 140007677 + ... + 141571076.

Almost surely, 2220110111220100 is an apocalyptic number.

220110111220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220110111220100 is an abundant number, since it is smaller than the sum of its proper divisors (257589934413424).

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

220110111220100 is a wasteful number, since it uses less digits than its factorization.

220110111220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281586584 (or 281586577 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 220110111220100 its reverse (1022111011022), we get a palindrome (221132222231122).

The spelling of 220110111220100 in words is "two hundred twenty trillion, one hundred ten billion, one hundred eleven million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 7817 15634 31268 39085 78170 156340 195425 390850 781700 281578753 563157506 1126315012 1407893765 2815787530 5631575060 7039468825 14078937650 28157875300 2201101112201 4402202224402 8804404448804 11005505561005 22011011122010 44022022244020 55027527805025 110055055610050 220110111220100