| Base | Representation |
|---|---|
| bin | 111001011010111111… |
| … | …1000110101110101100 |
| 3 | 102210021211212001001002 |
| 4 | 1302311333012232230 |
| 5 | 4010020422144040 |
| 6 | 132352054335432 |
| 7 | 11623536165344 |
| oct | 1626577065654 |
| 9 | 383254761032 |
| 10 | 123312303020 |
| 11 | 48329642435 |
| 12 | 1ba9505a578 |
| 13 | b8224b659a |
| 14 | 5d7b205d24 |
| 15 | 331ab88a15 |
| hex | 1cb5fc6bac |
123312303020 has 96 divisors (see below), whose sum is σ = 269256052800. Its totient is φ = 47381196800.
The previous prime is 123312303007. The next prime is 123312303029. The reversal of 123312303020 is 20303213321.
It is a super-2 number, since 2×1233123030202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 123312302983 and 123312303001.
It is not an unprimeable number, because it can be changed into a prime (123312303029) 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 31 ways as a sum of consecutive naturals, for example, 162039440 + ... + 162040200.
It is an arithmetic number, because the mean of its divisors is an integer number (2804750550).
Almost surely, 2123312303020 is an apocalyptic number.
123312303020 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 123312303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134628026400).
123312303020 is an abundant number, since it is smaller than the sum of its proper divisors (145943749780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123312303020 is a wasteful number, since it uses less digits than its factorization.
123312303020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1859 (or 1857 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 20.
Adding to 123312303020 its reverse (20303213321), we get a palindrome (143615516341).
The spelling of 123312303020 in words is "one hundred twenty-three billion, three hundred twelve million, three hundred three thousand, twenty".
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