Base | Representation |
---|---|
bin | 10111111110001000110011… |
… | …101100000111110100100000 |
3 | 111211021112200212220110222100 |
4 | 113332020303230013310200 |
5 | 102304241133404431000 |
6 | 1012115345502010400 |
7 | 31130500053132216 |
oct | 2776106354076440 |
9 | 454245625813870 |
10 | 105425134452000 |
11 | 30656603a74910 |
12 | b9a8120276a00 |
13 | 46a9716b98a3c |
14 | 1c06864902cb6 |
15 | c2c53a2b9a00 |
hex | 5fe233b07d20 |
105425134452000 has 576 divisors, whose sum is σ = 413759237149440. Its totient is φ = 25207497216000.
The previous prime is 105425134451977. The next prime is 105425134452007. The reversal of 105425134452000 is 254431524501.
105425134452000 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 2 + 5 + 1 + 3 + 445 + 200 + 0 = 666.
It is a super-2 number, since 2×1054251344520002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (105425134452007) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27084541 + ... + 30731459.
It is an arithmetic number, because the mean of its divisors is an integer number (718332008940).
Almost surely, 2105425134452000 is an apocalyptic number.
105425134452000 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 105425134452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206879618574720).
105425134452000 is an abundant number, since it is smaller than the sum of its proper divisors (308334102697440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105425134452000 is a wasteful number, since it uses less digits than its factorization.
105425134452000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3647034 (or 3647013 counting only the distinct ones).
The product of its (nonzero) digits is 96000, while the sum is 36.
Adding to 105425134452000 its reverse (254431524501), we get a palindrome (105679565976501).
The spelling of 105425134452000 in words is "one hundred five trillion, four hundred twenty-five billion, one hundred thirty-four million, four hundred fifty-two thousand".
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