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1024241112 = 2335539941
BaseRepresentation
bin111101000011001…
…010110111011000
32122101021211200000
4331003022313120
54044201203422
6245345013000
734244622456
oct7503126730
92571254600
101024241112
11486180564
12247024160
13134276b3b
149a05b9d6
155edbdcac
hex3d0cadd8

1024241112 has 96 divisors (see below), whose sum is σ = 2931299280. Its totient is φ = 334938240.

The previous prime is 1024241107. The next prime is 1024241117. The reversal of 1024241112 is 2111424201.

1024241112 is a `hidden beast` number, since 1 + 0 + 242 + 411 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (1024241107) and next prime (1024241117).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024241117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98062 + ... + 108002.

Almost surely, 21024241112 is an apocalyptic number.

1024241112 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 1024241112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465649640).

1024241112 is an abundant number, since it is smaller than the sum of its proper divisors (1907058168).

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

1024241112 is an equidigital number, since it uses as much as digits as its factorization.

1024241112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10015 (or 9999 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1024241112 is about 32003.7671532587. The cubic root of 1024241112 is about 1008.0159436254.

Adding to 1024241112 its reverse (2111424201), we get a palindrome (3135665313).

The spelling of 1024241112 in words is "one billion, twenty-four million, two hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 243 318 324 424 477 486 636 648 954 972 1272 1431 1908 1944 2862 3816 4293 5724 8586 9941 11448 12879 17172 19882 25758 29823 34344 39764 51516 59646 79528 89469 103032 119292 178938 238584 268407 357876 526873 536814 715752 805221 1053746 1073628 1580619 1610442 2107492 2147256 2415663 3161238 3220884 4214984 4741857 4831326 6322476 6441768 9483714 9662652 12644952 14225571 18967428 19325304 28451142 37934856 42676713 56902284 85353426 113804568 128030139 170706852 256060278 341413704 512120556 1024241112