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1123013130 = 23531672269
BaseRepresentation
bin100001011101111…
…1101001000001010
32220021010222101220
41002323331020022
54244442410010
6303234022510
736554311521
oct10273751012
92807128356
101123013130
11526a03428
12274117a36
1314b87a715
14a920d4b8
15688ce970
hex42efd20a

1123013130 has 96 divisors (see below), whose sum is σ = 2834818560. Its totient is φ = 284423040.

The previous prime is 1123013119. The next prime is 1123013137. The reversal of 1123013130 is 313103211.

It is a super-2 number, since 2×11230131302 = 2522316980304793800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123013137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4174636 + ... + 4174904.

It is an arithmetic number, because the mean of its divisors is an integer number (29529360).

Almost surely, 21123013130 is an apocalyptic number.

1123013130 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 1123013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417409280).

1123013130 is an abundant number, since it is smaller than the sum of its proper divisors (1711805430).

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

1123013130 is a wasteful number, since it uses less digits than its factorization.

1123013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1123013130 is about 33511.3880643581. The cubic root of 1123013130 is about 1039.4292757397.

Adding to 1123013130 its reverse (313103211), we get a palindrome (1436116341).

The spelling of 1123013130 in words is "one billion, one hundred twenty-three million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 67 93 134 155 186 201 269 310 335 402 465 538 670 807 930 1005 1345 1614 2010 2077 2690 4035 4154 4489 6231 8070 8339 8978 10385 12462 13467 16678 18023 20770 22445 25017 26934 31155 36046 41695 44890 50034 54069 62310 67335 83390 90115 108138 125085 134670 139159 180230 250170 270345 278318 417477 540690 558713 695795 834954 1117426 1207541 1391590 1676139 2087385 2415082 2793565 3352278 3622623 4174770 5587130 6037705 7245246 8380695 12075410 16761390 18113115 36226230 37433771 74867542 112301313 187168855 224602626 374337710 561506565 1123013130