| Base | Representation |
|---|---|
| bin | 10010101001011010… |
| … | …11001110110110000 |
| 3 | 221211200200202011210 |
| 4 | 21110231121312300 |
| 5 | 131000321414440 |
| 6 | 4333221040120 |
| 7 | 503041066605 |
| oct | 112455316660 |
| 9 | 27750622153 |
| 10 | 10011123120 |
| 11 | 4278021a79 |
| 12 | 1b34856040 |
| 13 | c370b32bb |
| 14 | 6ad81a6ac |
| 15 | 3d8d58a80 |
| hex | 254b59db0 |
10011123120 has 40 divisors (see below), whose sum is σ = 31034482416. Its totient is φ = 2669632768.
The previous prime is 10011123119. The next prime is 10011123121. The reversal of 10011123120 is 2132111001.
10011123120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10011123119) and next prime (10011123121).
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-2 number, since 2×100111231202 (a number of 21 digits) contains 22 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 = 10011123096 and 10011123105.
It is not an unprimeable number, because it can be changed into a prime (10011123121) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 20856267 + ... + 20856746.
Almost surely, 210011123120 is an apocalyptic number.
10011123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10011123120 is an abundant number, since it is smaller than the sum of its proper divisors (21023359296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10011123120 is a wasteful number, since it uses less digits than its factorization.
10011123120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 41713029 (or 41713023 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 12.
Adding to 10011123120 its reverse (2132111001), we get a palindrome (12143234121).
The spelling of 10011123120 in words is "ten billion, eleven million, one hundred twenty-three thousand, one hundred twenty".
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