Base | Representation |
---|---|
bin | 11011110100000001011011… |
… | …111100010000100101110010 |
3 | 121001002220000012200101011200 |
4 | 123310001123330100211302 |
5 | 112013111342021111310 |
6 | 1112054014212152030 |
7 | 34523326265025204 |
oct | 3364013374204562 |
9 | 531086005611150 |
10 | 122322211113330 |
11 | 35a806162704a8 |
12 | 11876a45008616 |
13 | 5333c202ba447 |
14 | 222c5d8878774 |
15 | e21d34c229c0 |
hex | 6f405bf10972 |
122322211113330 has 48 divisors (see below), whose sum is σ = 329004567829080. Its totient is φ = 31494454354944.
The previous prime is 122322211113317. The next prime is 122322211113331. The reversal of 122322211113330 is 33311112223221.
122322211113330 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 2 + 2 + 211 + 113 + 330 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 114272615086569 + 8049596026761 = 10689837^2 + 2837181^2 .
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 122322211113294 and 122322211113303.
It is not an unprimeable number, because it can be changed into a prime (122322211113331) 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 23 ways as a sum of consecutive naturals, for example, 23433371167 + ... + 23433376386.
Almost surely, 2122322211113330 is an apocalyptic number.
122322211113330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
122322211113330 is an abundant number, since it is smaller than the sum of its proper divisors (206682356715750).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122322211113330 is a wasteful number, since it uses less digits than its factorization.
122322211113330 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 46866747595 (or 46866747592 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
Adding to 122322211113330 its reverse (33311112223221), we get a palindrome (155633323336551).
The spelling of 122322211113330 in words is "one hundred twenty-two trillion, three hundred twenty-two billion, two hundred eleven million, one hundred thirteen thousand, three hundred thirty".
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