| Base | Representation |
|---|---|
| bin | 10010110100110001… |
| … | …00100011010100000 |
| 3 | 222002022211111010000 |
| 4 | 21122120210122200 |
| 5 | 131144204342030 |
| 6 | 4350501340000 |
| 7 | 505305225216 |
| oct | 113230443240 |
| 9 | 28068744100 |
| 10 | 10106324640 |
| 11 | 4316836315 |
| 12 | 1b60707600 |
| 13 | c50a36969 |
| 14 | 6bc31ccb6 |
| 15 | 3e23b1860 |
| hex | 25a6246a0 |
10106324640 has 240 divisors, whose sum is σ = 36122042880. Its totient is φ = 2660636160.
The previous prime is 10106324639. The next prime is 10106324647. The reversal of 10106324640 is 4642360101.
10106324640 is a `hidden beast` number, since 1 + 0 + 10 + 6 + 3 + 2 + 4 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×101063246402 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (10106324647) 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 39 ways as a sum of consecutive naturals, for example, 1018905 + ... + 1028775.
It is an arithmetic number, because the mean of its divisors is an integer number (150508512).
Almost surely, 210106324640 is an apocalyptic number.
10106324640 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 10106324640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18061021440).
10106324640 is an abundant number, since it is smaller than the sum of its proper divisors (26015718240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10106324640 is an equidigital number, since it uses as much as digits as its factorization.
10106324640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9977 (or 9960 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
Adding to 10106324640 its reverse (4642360101), we get a palindrome (14748684741).
The spelling of 10106324640 in words is "ten billion, one hundred six million, three hundred twenty-four thousand, six hundred forty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.069 sec. • engine limits •