Base | Representation |
---|---|
bin | 11101100101100001110110… |
… | …101110100011000101010000 |
3 | 122001201120110021202200022010 |
4 | 131211201312232203011100 |
5 | 114023411003201112144 |
6 | 1140425211415542520 |
7 | 36260012264052423 |
oct | 3545416656430520 |
9 | 561646407680263 |
10 | 130122321113424 |
11 | 38508625a94202 |
12 | 127166b208aa40 |
13 | 577b6365c7843 |
14 | 241bd4d8ab9ba |
15 | 1009ba81e15b9 |
hex | 765876ba3150 |
130122321113424 has 160 divisors (see below), whose sum is σ = 364132993600000. Its totient is φ = 39900557947392.
The previous prime is 130122321113423. The next prime is 130122321113437. The reversal of 130122321113424 is 424311123221031.
It is a junction number, because it is equal to n+sod(n) for n = 130122321113391 and 130122321113400.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130122321113423) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12974367 + ... + 20702145.
It is an arithmetic number, because the mean of its divisors is an integer number (2275831210000).
Almost surely, 2130122321113424 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 130122321113424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182066496800000).
130122321113424 is an abundant number, since it is smaller than the sum of its proper divisors (234010672486576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130122321113424 is a wasteful number, since it uses less digits than its factorization.
130122321113424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7728345 (or 7728339 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 30.
Adding to 130122321113424 its reverse (424311123221031), we get a palindrome (554433444334455).
The spelling of 130122321113424 in words is "one hundred thirty trillion, one hundred twenty-two billion, three hundred twenty-one million, one hundred thirteen thousand, four hundred twenty-four".
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