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11142323010 = 2335713569797
BaseRepresentation
bin10100110000010001…
…00101101101000010
31001202112020122201000
422120020211231002
5140304413314020
65041350352430
7543055116510
oct123010455502
931675218630
1011142323010
1147a8607215
1221ab65b716
131087569150
14779b5b4b0
15453304090
hex298225b42

11142323010 has 256 divisors, whose sum is σ = 36679910400. Its totient is φ = 2343831552.

The previous prime is 11142322991. The next prime is 11142323011. The reversal of 11142323010 is 1032324111.

11142323010 is a `hidden beast` number, since 1 + 1 + 1 + 423 + 230 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11142323011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13979932 + ... + 13980728.

It is an arithmetic number, because the mean of its divisors is an integer number (143280900).

Almost surely, 211142323010 is an apocalyptic number.

11142323010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11142323010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18339955200).

11142323010 is an abundant number, since it is smaller than the sum of its proper divisors (25537587390).

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

11142323010 is a wasteful number, since it uses less digits than its factorization.

11142323010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1396 counting only the distinct ones).

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

Adding to 11142323010 its reverse (1032324111), we get a palindrome (12174647121).

The spelling of 11142323010 in words is "eleven billion, one hundred forty-two million, three hundred twenty-three thousand, ten".