| Base | Representation |
|---|---|
| bin | 111001011010111101… |
| … | …0101000100110001100 |
| 3 | 102210021202122111100200 |
| 4 | 1302311322220212030 |
| 5 | 4010020122143040 |
| 6 | 132352013253500 |
| 7 | 11623523214420 |
| oct | 1626572504614 |
| 9 | 383252574320 |
| 10 | 123311131020 |
| 11 | 48328a11940 |
| 12 | 1ba94794290 |
| 13 | b822195cac |
| 14 | 5d7adbcb80 |
| 15 | 331aa06630 |
| hex | 1cb5ea898c |
123311131020 has 576 divisors, whose sum is σ = 485984378880. Its totient is φ = 24559718400.
The previous prime is 123311131019. The next prime is 123311131033. The reversal of 123311131020 is 20131113321.
123311131020 is a `hidden beast` number, since 1 + 2 + 331 + 1 + 1 + 310 + 20 = 666.
123311131020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 = 123311130984 and 123311131002.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46831624 + ... + 46834256.
It is an arithmetic number, because the mean of its divisors is an integer number (843722880).
Almost surely, 2123311131020 is an apocalyptic number.
123311131020 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 123311131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242992189440).
123311131020 is an abundant number, since it is smaller than the sum of its proper divisors (362673247860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123311131020 is a wasteful number, since it uses less digits than its factorization.
123311131020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2806 (or 2801 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 123311131020 its reverse (20131113321), we get a palindrome (143442244341).
The spelling of 123311131020 in words is "one hundred twenty-three billion, three hundred eleven million, one hundred thirty-one thousand, twenty".
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