Base | Representation |
---|---|
bin | 1110101011010… |
… | …00111101101000 |
3 | 22120122210201121 |
4 | 13111220331220 |
5 | 223004111240 |
6 | 20114425024 |
7 | 3023305651 |
oct | 725507550 |
9 | 276583647 |
10 | 123113320 |
11 | 63548950 |
12 | 35292174 |
13 | 1c677025 |
14 | 124ca528 |
15 | ac1d04a |
hex | 7568f68 |
123113320 has 128 divisors (see below), whose sum is σ = 325036800. Its totient is φ = 41472000.
The previous prime is 123113317. The next prime is 123113321. The reversal of 123113320 is 23311321.
It is a super-2 number, since 2×1231133202 = 30313779122844800, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 123113294 and 123113303.
It is not an unprimeable number, because it can be changed into a prime (123113321) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815245 + ... + 815395.
It is an arithmetic number, because the mean of its divisors is an integer number (2539350).
Almost surely, 2123113320 is an apocalyptic number.
123113320 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 123113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162518400).
123113320 is an abundant number, since it is smaller than the sum of its proper divisors (201923480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123113320 is a wasteful number, since it uses less digits than its factorization.
123113320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 299 (or 295 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 16.
The square root of 123113320 is about 11095.6441904019. The cubic root of 123113320 is about 497.4716632430.
Adding to 123113320 its reverse (23311321), we get a palindrome (146424641).
The spelling of 123113320 in words is "one hundred twenty-three million, one hundred thirteen thousand, three hundred twenty".
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