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11213312220 = 22335114121123
BaseRepresentation
bin10100111000101110…
…11001000011011100
31001221110211021121000
422130113121003130
5140431101442340
65052404110300
7544606403235
oct123427310334
931843737530
1011213312220
114834693490
12220b395390
131099192cb6
1478535a08c
15459677d30
hex29c5d90dc

11213312220 has 288 divisors, whose sum is σ = 39042904320. Its totient is φ = 2649715200.

The previous prime is 11213312207. The next prime is 11213312249. The reversal of 11213312220 is 2221331211.

11213312220 is a `hidden beast` number, since 112 + 1 + 331 + 2 + 220 = 666.

11213312220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11213312193 and 11213312202.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 9984579 + ... + 9985701.

It is an arithmetic number, because the mean of its divisors is an integer number (135565640).

Almost surely, 211213312220 is an apocalyptic number.

11213312220 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 11213312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19521452160).

11213312220 is an abundant number, since it is smaller than the sum of its proper divisors (27829592100).

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

11213312220 is a wasteful number, since it uses less digits than its factorization.

11213312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11213312220 its reverse (2221331211), we get a palindrome (13434643431).

The spelling of 11213312220 in words is "eleven billion, two hundred thirteen million, three hundred twelve thousand, two hundred twenty".