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130212121322133 = 334822671160079
BaseRepresentation
bin11101100110110101011111…
…001111001010001010010101
3122002001011020121200221022000
4131212311133033022022111
5114031343411024302013
61140534342302025513
736266341516201164
oct3546653717121225
9562034217627260
10130212121322133
1138542717955124
121272bb93b78299
135786c47c06806
14242242c03d3db
15100c1b1c55973
hex766d5f3ca295

130212121322133 has 8 divisors (see below), whose sum is σ = 192906846403200. Its totient is φ = 86808080881404.

The previous prime is 130212121322117. The next prime is 130212121322147. The reversal of 130212121322133 is 331223121212031.

130212121322133 is a `hidden beast` number, since 1 + 3 + 0 + 212 + 121 + 322 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 130212121322133 - 24 = 130212121322117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4822671160079 = 130212121322133 / (1 + 3 + 0 + 2 + 1 + 2 + 1 + 2 + 1 + 3 + 2 + 2 + 1 + 3 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 130212121322097 and 130212121322106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130212121322113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2411335580013 + ... + 2411335580066.

It is an arithmetic number, because the mean of its divisors is an integer number (24113355800400).

Almost surely, 2130212121322133 is an apocalyptic number.

It is an amenable number.

130212121322133 is a deficient number, since it is larger than the sum of its proper divisors (62694725081067).

130212121322133 is an equidigital number, since it uses as much as digits as its factorization.

130212121322133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822671160088 (or 4822671160082 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 130212121322133 its reverse (331223121212031), we get a palindrome (461435242534164).

The spelling of 130212121322133 in words is "one hundred thirty trillion, two hundred twelve billion, one hundred twenty-one million, three hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 27 4822671160079 14468013480237 43404040440711 130212121322133