| Base | Representation |
|---|---|
| bin | 101111101101111001… |
| … | …1110000000100000000 |
| 3 | 100210111110012012010000 |
| 4 | 1133123303300010000 |
| 5 | 3134330314234240 |
| 6 | 115024111040000 |
| 7 | 10255231556331 |
| oct | 1373363600400 |
| 9 | 323443165100 |
| 10 | 102472024320 |
| 11 | 3a504871606 |
| 12 | 17a39810000 |
| 13 | 98809c5423 |
| 14 | 4d614ac288 |
| 15 | 29eb28b430 |
| hex | 17dbcf0100 |
102472024320 has 720 divisors, whose sum is σ = 383436290160. Its totient is φ = 26097942528.
The previous prime is 102472024309. The next prime is 102472024351. The reversal of 102472024320 is 23420274201.
102472024320 is a `hidden beast` number, since 1 + 0 + 24 + 7 + 202 + 432 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 23785042176 + 78686982144 = 154224^2 + 280512^2 .
It is a tau number, because it is divible by the number of its divisors (720).
It is a Harshad number since it is a multiple of its sum of digits (27).
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 79 ways as a sum of consecutive naturals, for example, 520162462 + ... + 520162658.
It is an arithmetic number, because the mean of its divisors is an integer number (532550403).
Almost surely, 2102472024320 is an apocalyptic number.
102472024320 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 102472024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191718145080).
102472024320 is an abundant number, since it is smaller than the sum of its proper divisors (280964265840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102472024320 is a wasteful number, since it uses less digits than its factorization.
102472024320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 432 (or 409 counting only the distinct ones).
The product of its (nonzero) digits is 5376, while the sum is 27.
Adding to 102472024320 its reverse (23420274201), we get a palindrome (125892298521).
The spelling of 102472024320 in words is "one hundred two billion, four hundred seventy-two million, twenty-four thousand, three hundred twenty".
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