Base | Representation |
---|---|
bin | 111100101000111011… |
… | …0101100011110000100 |
3 | 110110010102020211101200 |
4 | 1321101312230132010 |
5 | 4113143402430200 |
6 | 135453500022500 |
7 | 12260013245154 |
oct | 1712166543604 |
9 | 413112224350 |
10 | 130222311300 |
11 | 50255110984 |
12 | 212a3231a30 |
13 | c383c71293 |
14 | 6434c18764 |
15 | 35c2628800 |
hex | 1e51dac784 |
130222311300 has 108 divisors (see below), whose sum is σ = 408441813780. Its totient is φ = 34703216640.
The previous prime is 130222311287. The next prime is 130222311311. The reversal of 130222311300 is 3113222031.
130222311300 is a `hidden beast` number, since 1 + 30 + 2 + 22 + 311 + 300 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 47114496 + 130175196804 = 6864^2 + 360798^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
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 35 ways as a sum of consecutive naturals, for example, 1351116 + ... + 1444284.
Almost surely, 2130222311300 is an apocalyptic number.
130222311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 130222311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204220906890).
130222311300 is an abundant number, since it is smaller than the sum of its proper divisors (278219502480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130222311300 is a wasteful number, since it uses less digits than its factorization.
130222311300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 94742 (or 94732 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 130222311300 its reverse (3113222031), we get a palindrome (133335533331).
The spelling of 130222311300 in words is "one hundred thirty billion, two hundred twenty-two million, three hundred eleven thousand, three hundred".
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