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110000221122220 = 2251113229731012137
BaseRepresentation
bin11001000000101101101100…
…000110101110111010101100
3112102110220210112121221202221
4121000231230012232322230
5103404220423101402340
61025541223131125124
732112153011156002
oct3100555406567254
9472426715557687
10110000221122220
113205a91713a630
12104069435a37a4
13494bc90042900
141d24079460a72
15cab558d4044a
hex640b6c1aeeac

110000221122220 has 864 divisors, whose sum is σ = 291123582442560. Its totient is φ = 34559336448000.

The previous prime is 110000221122193. The next prime is 110000221122263. The reversal of 110000221122220 is 22221122000011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110000221122194 and 110000221122203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 802921321992 + ... + 802921322128.

It is an arithmetic number, because the mean of its divisors is an integer number (336948590790).

Almost surely, 2110000221122220 is an apocalyptic number.

110000221122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110000221122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145561791221280).

110000221122220 is an abundant number, since it is smaller than the sum of its proper divisors (181123361320340).

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

110000221122220 is a wasteful number, since it uses less digits than its factorization.

110000221122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110000221122220 its reverse (22221122000011), we get a palindrome (132221343122231).

It can be divided in two parts, 1100002 and 21122220, that added together give a palindrome (22222222).

The spelling of 110000221122220 in words is "one hundred ten trillion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty".