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11202221102220 = 22335101285172043
BaseRepresentation
bin1010001100000011100001…
…1010001101010010001100
31110122220220001100001021000
42203000320122031102030
52432014122100232340
635454121311340300
72234222324166111
oct243007032152214
943586801301230
1011202221102220
113629920853085
12130b095221690
136334989528a5
142aa294628908
151465deb17d30
hexa303868d48c

11202221102220 has 192 divisors, whose sum is σ = 35209251463680. Its totient is φ = 2956603680000.

The previous prime is 11202221102203. The next prime is 11202221102257. The reversal of 11202221102220 is 2220112220211.

It is a happy number.

11202221102220 is a `hidden beast` number, since 1 + 120 + 2 + 221 + 102 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11202221102193 and 11202221102202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155457519 + ... + 155529561.

It is an arithmetic number, because the mean of its divisors is an integer number (183381518040).

Almost surely, 211202221102220 is an apocalyptic number.

11202221102220 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 11202221102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17604625731840).

11202221102220 is an abundant number, since it is smaller than the sum of its proper divisors (24007030361460).

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

11202221102220 is a wasteful number, since it uses less digits than its factorization.

11202221102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75013 (or 75005 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11202221102220 its reverse (2220112220211), we get a palindrome (13422333322431).

The spelling of 11202221102220 in words is "eleven trillion, two hundred two billion, two hundred twenty-one million, one hundred two thousand, two hundred twenty".