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130022130320244 = 223223093315639713
BaseRepresentation
bin11101100100000100100010…
…111001000000001101110100
3122001100222211211010001000100
4131210010202321000031310
5114020240310330221434
61140311201515314100
736246534412263531
oct3544044271001564
9561328754101010
10130022130320244
113847a091994398
12126bb1b044b930
13577205a405636
142417167383d88
15100729236a699
hex764122e40374

130022130320244 has 36 divisors (see below), whose sum is σ = 328668495871716. Its totient is φ = 43340519659008.

The previous prime is 130022130320221. The next prime is 130022130320261. The reversal of 130022130320244 is 442023031220031.

130022130320244 is a `hidden beast` number, since 1 + 300 + 2 + 2 + 1 + 30 + 320 + 2 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16944172668900 + 113077957651344 = 4116330^2 + 10633812^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 493732 + ... + 16133444.

It is an arithmetic number, because the mean of its divisors is an integer number (9129680440881).

Almost surely, 2130022130320244 is an apocalyptic number.

It is an amenable number.

130022130320244 is an abundant number, since it is smaller than the sum of its proper divisors (198646365551472).

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

130022130320244 is a wasteful number, since it uses less digits than its factorization.

130022130320244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15870656 (or 15870651 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 130022130320244 its reverse (442023031220031), we get a palindrome (572045161540275).

The spelling of 130022130320244 in words is "one hundred thirty trillion, twenty-two billion, one hundred thirty million, three hundred twenty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 230933 461866 692799 923732 1385598 2078397 2771196 4156794 8313588 15639713 31279426 46919139 62558852 93838278 140757417 187676556 281514834 563029668 3611725842229 7223451684458 10835177526687 14446903368916 21670355053374 32505532580061 43340710106748 65011065160122 130022130320244