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1042001112 = 233437114221
BaseRepresentation
bin111110000110111…
…010110011011000
32200121201010210210
4332012322303120
54113223013422
6251221411120
734551602055
oct7606726330
92617633723
101042001112
11495200949
12250b69aa0
13137b54809
149c56202c
156172b10c
hex3e1bacd8

1042001112 has 64 divisors (see below), whose sum is σ = 2703317760. Its totient is φ = 334454400.

The previous prime is 1042001099. The next prime is 1042001119. The reversal of 1042001112 is 2111002401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042001119) 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 15 ways as a sum of consecutive naturals, for example, 66162 + ... + 80382.

It is an arithmetic number, because the mean of its divisors is an integer number (42239340).

Almost surely, 21042001112 is an apocalyptic number.

1042001112 is a gapful number since it is divisible by the number (12) 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 1042001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351658880).

1042001112 is an abundant number, since it is smaller than the sum of its proper divisors (1661316648).

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

1042001112 is a wasteful number, since it uses less digits than its factorization.

1042001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14344 (or 14340 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1042001112 is about 32280.0420074076. The cubic root of 1042001112 is about 1013.8088097375.

Adding to 1042001112 its reverse (2111002401), we get a palindrome (3153003513).

The spelling of 1042001112 in words is "one billion, forty-two million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 71 86 129 142 172 213 258 284 344 426 516 568 852 1032 1704 3053 6106 9159 12212 14221 18318 24424 28442 36636 42663 56884 73272 85326 113768 170652 341304 611503 1009691 1223006 1834509 2019382 2446012 3029073 3669018 4038764 4892024 6058146 7338036 8077528 12116292 14676072 24232584 43416713 86833426 130250139 173666852 260500278 347333704 521000556 1042001112