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1023323112 = 233371016701
BaseRepresentation
bin111100111111101…
…010101111101000
32122022120012102000
4330333222233220
54043432314422
6245313211000
734234050210
oct7477525750
92568505360
101023323112
11485703889
12246860a60
13134015046
1499c9d240
155ec8bcac
hex3cfeabe8

1023323112 has 128 divisors (see below), whose sum is σ = 3281299200. Its totient is φ = 289440000.

The previous prime is 1023323111. The next prime is 1023323167. The reversal of 1023323112 is 2113233201.

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 (1023323111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149362 + ... + 156062.

It is an arithmetic number, because the mean of its divisors is an integer number (25635150).

Almost surely, 21023323112 is an apocalyptic number.

1023323112 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 1023323112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640649600).

1023323112 is an abundant number, since it is smaller than the sum of its proper divisors (2257976088).

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

1023323112 is a wasteful number, since it uses less digits than its factorization.

1023323112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6824 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1023323112 is about 31989.4218766142. The cubic root of 1023323112 is about 1007.7147010041.

Adding to 1023323112 its reverse (2113233201), we get a palindrome (3136556313).

The spelling of 1023323112 in words is "one billion, twenty-three million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 101 108 126 168 189 202 216 252 303 378 404 504 606 707 756 808 909 1212 1414 1512 1818 2121 2424 2727 2828 3636 4242 5454 5656 6363 6701 7272 8484 10908 12726 13402 16968 19089 20103 21816 25452 26804 38178 40206 46907 50904 53608 60309 76356 80412 93814 120618 140721 152712 160824 180927 187628 241236 281442 361854 375256 422163 482472 562884 676801 723708 844326 1125768 1266489 1353602 1447416 1688652 2030403 2532978 2707204 3377304 4060806 4737607 5065956 5414408 6091209 8121612 9475214 10131912 12182418 14212821 16243224 18273627 18950428 24364836 28425642 36547254 37900856 42638463 48729672 56851284 73094508 85276926 113702568 127915389 146189016 170553852 255830778 341107704 511661556 1023323112