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12313030032 = 243217322857
BaseRepresentation
bin10110111011110100…
…11110110110010000
31011210010010201211100
423131322132312100
5200204113430112
65353450544400
7614062012512
oct133572366620
934703121740
1012313030032
115249425786
122477738100
131212c753b4
1484b423bb2
154c0ea52dc
hex2dde9ed90

12313030032 has 90 divisors (see below), whose sum is σ = 34671852722. Its totient is φ = 4079190528.

The previous prime is 12313030031. The next prime is 12313030057. The reversal of 12313030032 is 23003031321.

It can be written as a sum of positive squares in 3 ways, for example, as 8280272016 + 4032758016 = 90996^2 + 63504^2 .

It is a super-2 number, since 2×123130300322 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12313029987 and 12313030014.

It is not an unprimeable number, because it can be changed into a prime (12313030031) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4308348 + ... + 4311204.

Almost surely, 212313030032 is an apocalyptic number.

12313030032 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 12313030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17335926361).

12313030032 is an abundant number, since it is smaller than the sum of its proper divisors (22358822690).

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

12313030032 is a wasteful number, since it uses less digits than its factorization.

12313030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12313030032 its reverse (23003031321), we get a palindrome (35316061353).

The spelling of 12313030032 in words is "twelve billion, three hundred thirteen million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 2857 3114 4152 5714 6228 8304 8571 11428 12456 17142 22856 24912 25713 29929 34284 45712 51426 59858 68568 89787 102852 119716 137136 179574 205704 239432 269361 359148 411408 478864 494261 538722 718296 988522 1077444 1436592 1482783 1977044 2154888 2965566 3954088 4309776 4448349 5931132 7908176 8896698 11862264 17793396 23724528 35586792 71173584 85507153 171014306 256521459 342028612 513042918 684057224 769564377 1026085836 1368114448 1539128754 2052171672 3078257508 4104343344 6156515016 12313030032