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11200220020220 = 225721121071814877
BaseRepresentation
bin1010001011111100000100…
…1000101011110111111100
31110122201201120221112210212
42202333001020223313330
52432001022311121340
635453150545251552
72234121615236600
oct242770110536774
943581646845725
1011200220020220
113628a94237600
12130a817033bb8
1363323a1b9bba
142aa14496b500
151465240dea65
hexa2fc122bdfc

11200220020220 has 432 divisors, whose sum is σ = 30529010375136. Its totient is φ = 3438539596800.

The previous prime is 11200220020219. The next prime is 11200220020259. The reversal of 11200220020220 is 2202002200211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11200220020195 and 11200220020204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2296536422 + ... + 2296541298.

It is an arithmetic number, because the mean of its divisors is an integer number (70669005498).

Almost surely, 211200220020220 is an apocalyptic number.

11200220020220 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 11200220020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15264505187568).

11200220020220 is an abundant number, since it is smaller than the sum of its proper divisors (19328790354916).

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

11200220020220 is a wasteful number, since it uses less digits than its factorization.

11200220020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5210 (or 5190 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 11200220020220 its reverse (2202002200211), we get a palindrome (13402222220431).

The spelling of 11200220020220 in words is "eleven trillion, two hundred billion, two hundred twenty million, twenty thousand, two hundred twenty".