| Base | Representation |
|---|---|
| bin | 10010101001100100… |
| … | …00001110000010000 |
| 3 | 221211202222022201200 |
| 4 | 21110302001300100 |
| 5 | 131001124210440 |
| 6 | 4333303031200 |
| 7 | 503054305254 |
| oct | 112462016020 |
| 9 | 27752868650 |
| 10 | 10012335120 |
| 11 | 427877a627 |
| 12 | 1b3513b500 |
| 13 | c37418b68 |
| 14 | 6ada54264 |
| 15 | 3d8ee7c30 |
| hex | 254c81c10 |
10012335120 has 120 divisors (see below), whose sum is σ = 33850791000. Its totient is φ = 2652008448.
The previous prime is 10012335103. The next prime is 10012335139. The reversal of 10012335120 is 2153321001.
It can be written as a sum of positive squares in 4 ways, for example, as 5934096 + 10006401024 = 2436^2 + 100032^2 .
It is a tau number, because it is divible by the number of its divisors (120).
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 = 10012335093 and 10012335102.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60616 + ... + 153944.
It is an arithmetic number, because the mean of its divisors is an integer number (282089925).
Almost surely, 210012335120 is an apocalyptic number.
10012335120 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 10012335120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16925395500).
10012335120 is an abundant number, since it is smaller than the sum of its proper divisors (23838455880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10012335120 is a wasteful number, since it uses less digits than its factorization.
10012335120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 93497 (or 93488 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
Adding to 10012335120 its reverse (2153321001), we get a palindrome (12165656121).
The spelling of 10012335120 in words is "ten billion, twelve million, three hundred thirty-five thousand, one hundred twenty".
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