Base | Representation |
---|---|
bin | 10010010001101… |
… | …01001110101010 |
3 | 101200110221221200 |
4 | 21020311032222 |
5 | 303221410442 |
6 | 23113545030 |
7 | 3541054200 |
oct | 1110651652 |
9 | 350427850 |
10 | 153310122 |
11 | 795a3189 |
12 | 43415176 |
13 | 259ba764 |
14 | 1650b070 |
15 | d6d534c |
hex | 92353aa |
153310122 has 72 divisors (see below), whose sum is σ = 390456612. Its totient is φ = 43344000.
The previous prime is 153310121. The next prime is 153310127. The reversal of 153310122 is 221013351.
153310122 is a `hidden beast` number, since 1 + 533 + 10 + 122 = 666.
153310122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 128119761 + 25190361 = 11319^2 + 5019^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 153310095 and 153310104.
It is not an unprimeable number, because it can be changed into a prime (153310121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88222 + ... + 89942.
Almost surely, 2153310122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 153310122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195228306).
153310122 is an abundant number, since it is smaller than the sum of its proper divisors (237146490).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
153310122 is a wasteful number, since it uses less digits than its factorization.
153310122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1844 (or 1834 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
The square root of 153310122 is about 12381.8464697314. The cubic root of 153310122 is about 535.2092488029.
Adding to 153310122 its reverse (221013351), we get a palindrome (374323473).
The spelling of 153310122 in words is "one hundred fifty-three million, three hundred ten thousand, one hundred twenty-two".
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