| Base | Representation |
|---|---|
| bin | 10010110110111111… |
| … | …10011110101000000 |
| 3 | 222010121222021220000 |
| 4 | 21123133303311000 |
| 5 | 131214000000000 |
| 6 | 4352405520000 |
| 7 | 505623036303 |
| oct | 113337636500 |
| 9 | 28117867800 |
| 10 | 10125000000 |
| 11 | 43263313a5 |
| 12 | 1b66a13000 |
| 13 | c5487517b |
| 14 | 6c09c0b3a |
| 15 | 3e3d50000 |
| hex | 25b7f3d40 |
10125000000 has 350 divisors, whose sum is σ = 37517086002. Its totient is φ = 2700000000.
The previous prime is 10124999981. The next prime is 10125000019. The reversal of 10125000000 is 52101.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an interprime number because it is at equal distance from previous prime (10124999981) and next prime (10125000019).
It can be written as a sum of positive squares in 5 ways, for example, as 2672476416 + 7452523584 = 51696^2 + 86328^2 .
It is an ABA number since it can be written as A⋅BA, here for A=3, B=1500.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
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 49 ways as a sum of consecutive naturals, for example, 2024999998 + ... + 2025000002.
Almost surely, 210125000000 is an apocalyptic number.
10125000000 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 10125000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18758543001).
10125000000 is an abundant number, since it is smaller than the sum of its proper divisors (27392086002).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10125000000 is an frugal number, since it uses more digits than its factorization.
10125000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 69 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 10, while the sum is 9.
Adding to 10125000000 its reverse (52101), we get a palindrome (10125052101).
The spelling of 10125000000 in words is "ten billion, one hundred twenty-five million", and thus it is an aban number.
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