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11235042280 = 23571117229937
BaseRepresentation
bin10100111011010100…
…10010001111101000
31001222222201021122001
422131222102033220
5141002132323110
65054501540344
7545262166210
oct123552221750
931888637561
1011235042280
114845985610
1222167146b4
1310a0830a17
147881b5240
1545b51b63a
hex29da923e8

11235042280 has 256 divisors, whose sum is σ = 33551884800. Its totient is φ = 3277946880.

The previous prime is 11235042253. The next prime is 11235042283. The reversal of 11235042280 is 8224053211.

11235042280 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 (28).

It is not an unprimeable number, because it can be changed into a prime (11235042283) by changing a digit.

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, 11989972 + ... + 11990908.

It is an arithmetic number, because the mean of its divisors is an integer number (131062050).

Almost surely, 211235042280 is an apocalyptic number.

11235042280 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 11235042280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16775942400).

11235042280 is an abundant number, since it is smaller than the sum of its proper divisors (22316842520).

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

11235042280 is a wasteful number, since it uses less digits than its factorization.

11235042280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 11235042280 its reverse (8224053211), we get a palindrome (19459095491).

The spelling of 11235042280 in words is "eleven billion, two hundred thirty-five million, forty-two thousand, two hundred eighty".