| Base | Representation |
|---|---|
| bin | 10010010000001… |
| … | …11010101000000 |
| 3 | 101200010102001100 |
| 4 | 21020013111000 |
| 5 | 303144401422 |
| 6 | 23105534400 |
| 7 | 3536342103 |
| oct | 1110072500 |
| 9 | 350112040 |
| 10 | 153122112 |
| 11 | 79484a00 |
| 12 | 43344400 |
| 13 | 25953000 |
| 14 | 1649c73a |
| 15 | d6997ac |
| hex | 9207540 |
153122112 has 252 divisors, whose sum is σ = 522607540. Its totient is φ = 42831360.
The previous prime is 153122107. The next prime is 153122131. The reversal of 153122112 is 211221351.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
153122112 is a `hidden beast` number, since 1 + 531 + 22 + 112 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 5645376 + 147476736 = 2376^2 + 12144^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11778618 + ... + 11778630.
Almost surely, 2153122112 is an apocalyptic number.
153122112 is a gapful number since it is divisible by the number (12) 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 153122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261303770).
153122112 is an abundant number, since it is smaller than the sum of its proper divisors (369485428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
153122112 is a wasteful number, since it uses less digits than its factorization.
153122112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 79 (or 29 counting only the distinct ones).
The product of its digits is 120, while the sum is 18.
The square root of 153122112 is about 12374.2519773924. The cubic root of 153122112 is about 534.9903768613.
Adding to 153122112 its reverse (211221351), we get a palindrome (364343463).
It can be divided in two parts, 15312 and 2112, that added together give a square (17424 = 1322).
The spelling of 153122112 in words is "one hundred fifty-three million, one hundred twenty-two thousand, one hundred twelve".
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