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130131112301312 = 2829112315608581
BaseRepresentation
bin11101100101101010000010…
…101110010001001100000000
3122001202102010221221021221112
4131211222002232101030000
5114024032004222120222
61140433224021342452
736260443162655003
oct3545520256211400
9561672127837845
10130131112301312
1138511327423841
1212718346267a28
13577c407a26875
14241c54528953a
15100a01edc2be2
hex765a82b91300

130131112301312 has 72 divisors (see below), whose sum is σ = 268950227755440. Its totient is φ = 62765971107840.

The previous prime is 130131112301287. The next prime is 130131112301317. The reversal of 130131112301312 is 213103211131031.

It is not an unprimeable number, because it can be changed into a prime (130131112301317) by changing a digit.

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, 532862 + ... + 16141442.

Almost surely, 2130131112301312 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 130131112301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134475113877720).

130131112301312 is an abundant number, since it is smaller than the sum of its proper divisors (138819115454128).

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

130131112301312 is a wasteful number, since it uses less digits than its factorization.

130131112301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15609749 (or 15609735 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 130131112301312 its reverse (213103211131031), we get a palindrome (343234323432343).

The spelling of 130131112301312 in words is "one hundred thirty trillion, one hundred thirty-one billion, one hundred twelve million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1123 1856 2246 3712 4492 7424 8984 17968 32567 35936 65134 71872 130268 143744 260536 287488 521072 1042144 2084288 4168576 8337152 15608581 31217162 62434324 124868648 249737296 452648849 499474592 905297698 998949184 1810595396 1997898368 3621190792 3995796736 7242381584 14484763168 17528436463 28969526336 35056872926 57939052672 70113745852 115878105344 140227491704 280454983408 508324657427 560909966816 1016649314854 1121819933632 2033298629708 2243639867264 4066597259416 4487279734528 8133194518832 16266389037664 32532778075328 65065556150656 130131112301312