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11202161220 = 22335178913711
BaseRepresentation
bin10100110111011001…
…10110101001000100
31001220200211202022000
422123230312221010
5140420223124340
65051325105300
7544412541105
oct123354665104
931820752260
1011202161220
114829367588
1222076b8230
131096a8a583
14783a963ac
154586c3d30
hex29bb36a44

11202161220 has 192 divisors, whose sum is σ = 37318579200. Its totient is φ = 2779729920.

The previous prime is 11202161213. The next prime is 11202161233. The reversal of 11202161220 is 2216120211.

11202161220 is a `hidden beast` number, since 1 + 12 + 0 + 21 + 612 + 20 = 666.

11202161220 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 = 11202161193 and 11202161202.

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, 810165 + ... + 823875.

It is an arithmetic number, because the mean of its divisors is an integer number (194367600).

Almost surely, 211202161220 is an apocalyptic number.

11202161220 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 11202161220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18659289600).

11202161220 is an abundant number, since it is smaller than the sum of its proper divisors (26116417980).

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

11202161220 is a wasteful number, since it uses less digits than its factorization.

11202161220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13835 (or 13827 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11202161220 its reverse (2216120211), we get a palindrome (13418281431).

The spelling of 11202161220 in words is "eleven billion, two hundred two million, one hundred sixty-one thousand, two hundred twenty".