| Base | Representation |
|---|---|
| bin | 10010111001000001… |
| … | …10010100011001000 |
| 3 | 222011211000201022100 |
| 4 | 21130200302203020 |
| 5 | 131232330042440 |
| 6 | 4354214553400 |
| 7 | 506220603411 |
| oct | 113440624310 |
| 9 | 28154021270 |
| 10 | 10142034120 |
| 11 | 4334a06389 |
| 12 | 1b70668860 |
| 13 | c5825a62a |
| 14 | 6c2d76808 |
| 15 | 3e55b7230 |
| hex | 25c8328c8 |
10142034120 has 192 divisors, whose sum is σ = 33774174720. Its totient is φ = 2638259712.
The previous prime is 10142034113. The next prime is 10142034127. The reversal of 10142034120 is 2143024101.
It is an interprime number because it is at equal distance from previous prime (10142034113) and next prime (10142034127).
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 = 10142034093 and 10142034102.
It is not an unprimeable number, because it can be changed into a prime (10142034127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6310357 + ... + 6311963.
It is an arithmetic number, because the mean of its divisors is an integer number (175907160).
Almost surely, 210142034120 is an apocalyptic number.
10142034120 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 10142034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16887087360).
10142034120 is an abundant number, since it is smaller than the sum of its proper divisors (23632140600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10142034120 is a wasteful number, since it uses less digits than its factorization.
10142034120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2044 (or 2037 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 10142034120 its reverse (2143024101), we get a palindrome (12285058221).
The spelling of 10142034120 in words is "ten billion, one hundred forty-two million, thirty-four thousand, one hundred twenty".
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