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111022002200220 = 223537832572344471
BaseRepresentation
bin11001001111100101010011…
…000000001101111010011100
3112120002121012012222210012120
4121033211103000031322130
5104022441030030401340
61032042445333502540
732246034466060116
oct3117452300157234
9476077165883176
10111022002200220
11324141919a4831
1210550983aa1a50
1349c44399ac587
141d5b6ca53c3b6
15cc7e0c88e4d0
hex64f95300de9c

111022002200220 has 192 divisors, whose sum is σ = 324367191622656. Its totient is φ = 28347905802240.

The previous prime is 111022002200203. The next prime is 111022002200227. The reversal of 111022002200220 is 22002200220111.

It is a super-3 number, since 3×1110220022002203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

111022002200220 is a modest number, since divided by 2200220 gives 1110220 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 111022002200220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111022002200227) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 46182585 + ... + 48527055.

It is an arithmetic number, because the mean of its divisors is an integer number (1689412456368).

Almost surely, 2111022002200220 is an apocalyptic number.

111022002200220 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 111022002200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162183595811328).

111022002200220 is an abundant number, since it is smaller than the sum of its proper divisors (213345189422436).

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

111022002200220 is a wasteful number, since it uses less digits than its factorization.

111022002200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344860 (or 2344858 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 111022002200220 its reverse (22002200220111), we get a palindrome (133024202420331).

The spelling of 111022002200220 in words is "one hundred eleven trillion, twenty-two billion, two million, two hundred thousand, two hundred twenty".