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130112110220032 = 284876971149711
BaseRepresentation
bin11101100101011000010110…
…000111000101001100000000
3122001200121002200011112211101
4131211120112013011030000
5114023224100204020112
61140420402301024144
736256201245643063
oct3545302607051400
9561617080145741
10130112110220032
1138504266226936
1212714722555054
13577a69a00a9a5
14241b66172c8da
1510097aba76757
hex7656161c5300

130112110220032 has 72 divisors (see below), whose sum is σ = 260288339415552. Its totient is φ = 64912722969600.

The previous prime is 130112110220009. The next prime is 130112110220047. The reversal of 130112110220032 is 230022011211031.

It is a super-2 number, since 2×1301121102200322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130112110219991 and 130112110220009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 869013657 + ... + 869163367.

It is an arithmetic number, because the mean of its divisors is an integer number (3615115825216).

Almost surely, 2130112110220032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130112110220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130144169707776).

130112110220032 is an abundant number, since it is smaller than the sum of its proper divisors (130176229195520).

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

130112110220032 is an equidigital number, since it uses as much as digits as its factorization.

130112110220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157185 (or 157171 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 130112110220032 its reverse (230022011211031), we get a palindrome (360134121431063).

Subtracting 130112110220032 from its reverse (230022011211031), we obtain a palindrome (99909900990999).

The spelling of 130112110220032 in words is "one hundred thirty trillion, one hundred twelve billion, one hundred ten million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 487 974 1948 3896 6971 7792 13942 15584 27884 31168 55768 62336 111536 124672 149711 223072 299422 446144 598844 892288 1197688 1784576 2395376 3394877 4790752 6789754 9581504 13579508 19163008 27159016 38326016 54318032 72909257 108636064 145818514 217272128 291637028 434544256 583274056 869088512 1043635381 1166548112 2087270762 2333096224 4174541524 4666192448 8349083048 9332384896 16698166096 18664769792 33396332192 66792664384 133585328768 267170657536 508250430547 1016500861094 2033001722188 4066003444376 8132006888752 16264013777504 32528027555008 65056055110016 130112110220032