| Base | Representation |
|---|---|
| bin | 10111010010101111000010… |
| … | …101000101110010000000000 |
| 3 | 111102201102002002020112212210 |
| 4 | 113102233002220232100000 |
| 5 | 101411404300242311000 |
| 6 | 1001513240534422120 |
| 7 | 30402141255226023 |
| oct | 2722570250562000 |
| 9 | 442642062215783 |
| 10 | 102442530432000 |
| 11 | 2a7066a6837410 |
| 12 | b5a6070201940 |
| 13 | 452139b3c3b35 |
| 14 | 1b423601251ba |
| 15 | bc9b72dba350 |
| hex | 5d2bc2a2e400 |
102442530432000 has 704 divisors, whose sum is σ = 391306265026560. Its totient is φ = 23527452672000.
The previous prime is 102442530431963. The next prime is 102442530432013. The reversal of 102442530432000 is 234035244201.
102442530432000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (704).
It is a super-2 number, since 2×1024425304320002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
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 63 ways as a sum of consecutive naturals, for example, 79617777 + ... + 80894223.
Almost surely, 2102442530432000 is an apocalyptic number.
102442530432000 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 102442530432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195653132513280).
102442530432000 is an abundant number, since it is smaller than the sum of its proper divisors (288863734594560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102442530432000 is a wasteful number, since it uses less digits than its factorization.
102442530432000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1276515 (or 1276487 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 30.
Adding to 102442530432000 its reverse (234035244201), we get a palindrome (102676565676201).
The spelling of 102442530432000 in words is "one hundred two trillion, four hundred forty-two billion, five hundred thirty million, four hundred thirty-two thousand".
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