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11232201120 = 2535719296067
BaseRepresentation
bin10100111010111110…
…11100100110100000
31001222210100221021220
422131133130212200
5141000420413440
65054321015040
7545226064020
oct123537344640
931883327256
1011232201120
114844314a48
122215784480
1310a007776a
14787a75a80
1545b1598d0
hex29d7dc9a0

11232201120 has 384 divisors, whose sum is σ = 44039116800. Its totient is φ = 2347978752.

The previous prime is 11232201109. The next prime is 11232201143. The reversal of 11232201120 is 2110223211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11232201120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1848327 + ... + 1854393.

It is an arithmetic number, because the mean of its divisors is an integer number (114685200).

Almost surely, 211232201120 is an apocalyptic number.

11232201120 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 11232201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22019558400).

11232201120 is an abundant number, since it is smaller than the sum of its proper divisors (32806915680).

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

11232201120 is a wasteful number, since it uses less digits than its factorization.

11232201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6140 (or 6132 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11232201120 its reverse (2110223211), we get a palindrome (13342424331).

The spelling of 11232201120 in words is "eleven billion, two hundred thirty-two million, two hundred one thousand, one hundred twenty".