| Base | Representation |
|---|---|
| bin | 10010110110110001… |
| … | …00110101001101100 |
| 3 | 222010111102022200210 |
| 4 | 21123120212221230 |
| 5 | 131213004023040 |
| 6 | 4352301222420 |
| 7 | 505601011131 |
| oct | 113330465154 |
| 9 | 28114368623 |
| 10 | 10123111020 |
| 11 | 4325261160 |
| 12 | 1b66261a10 |
| 13 | c54363429 |
| 14 | 6c064c588 |
| 15 | 3e3aca480 |
| hex | 25b626a6c |
10123111020 has 96 divisors (see below), whose sum is σ = 30948293376. Its totient is φ = 2451961600.
The previous prime is 10123110983. The next prime is 10123111073. The reversal of 10123111020 is 2011132101.
10123111020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×101231110203 (a number of 31 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 10123110987 and 10123111005.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836815 + ... + 848825.
It is an arithmetic number, because the mean of its divisors is an integer number (322378056).
Almost surely, 210123111020 is an apocalyptic number.
10123111020 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 10123111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15474146688).
10123111020 is an abundant number, since it is smaller than the sum of its proper divisors (20825182356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10123111020 is a wasteful number, since it uses less digits than its factorization.
10123111020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13311 (or 13309 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 12.
Adding to 10123111020 its reverse (2011132101), we get a palindrome (12134243121).
The spelling of 10123111020 in words is "ten billion, one hundred twenty-three million, one hundred eleven thousand, twenty".
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