| Base | Representation |
|---|---|
| bin | 10010110100110001… |
| … | …00011110110111000 |
| 3 | 222002022211100222120 |
| 4 | 21122120203312320 |
| 5 | 131144204303420 |
| 6 | 4350501321240 |
| 7 | 505305215451 |
| oct | 113230436670 |
| 9 | 28068740876 |
| 10 | 10106322360 |
| 11 | 4316834632 |
| 12 | 1b60706220 |
| 13 | c50a35904 |
| 14 | 6bc31c128 |
| 15 | 3e23b0d40 |
| hex | 25a623db8 |
10106322360 has 256 divisors, whose sum is σ = 32336962560. Its totient is φ = 2521559040.
The previous prime is 10106322329. The next prime is 10106322451. The reversal of 10106322360 is 6322360101.
It is a happy number.
10106322360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 10106322360.
It is a congruent number.
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 63 ways as a sum of consecutive naturals, for example, 35965420 + ... + 35965700.
It is an arithmetic number, because the mean of its divisors is an integer number (126316260).
Almost surely, 210106322360 is an apocalyptic number.
10106322360 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 10106322360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16168481280).
10106322360 is an abundant number, since it is smaller than the sum of its proper divisors (22230640200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10106322360 is a wasteful number, since it uses less digits than its factorization.
10106322360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 558 (or 554 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 24.
Adding to 10106322360 its reverse (6322360101), we get a palindrome (16428682461).
The spelling of 10106322360 in words is "ten billion, one hundred six million, three hundred twenty-two thousand, three hundred sixty".
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