Base | Representation |
---|---|
bin | 10111001100011101010000… |
… | …101111111110001110100000 |
3 | 111101012011112120001100002001 |
4 | 113030131100233332032200 |
5 | 101332322234442001344 |
6 | 1000543132444133344 |
7 | 30326026503451354 |
oct | 2714352057761640 |
9 | 441164476040061 |
10 | 102011123000224 |
11 | 2a55a746566729 |
12 | b536532837254 |
13 | 44bc7b8c3c349 |
14 | 1b29516a2d464 |
15 | bbd824035ed4 |
hex | 5cc750bfe3a0 |
102011123000224 has 192 divisors, whose sum is σ = 219963123072000. Its totient is φ = 46391043686400.
The previous prime is 102011123000209. The next prime is 102011123000233. The reversal of 102011123000224 is 422000321110201.
It is a Harshad number since it is a multiple of its sum of digits (19).
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1295817184 + ... + 1295895904.
It is an arithmetic number, because the mean of its divisors is an integer number (1145641266000).
Almost surely, 2102011123000224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 102011123000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109981561536000).
102011123000224 is an abundant number, since it is smaller than the sum of its proper divisors (117952000071776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102011123000224 is a wasteful number, since it uses less digits than its factorization.
102011123000224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 79327 (or 79319 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 19.
Adding to 102011123000224 its reverse (422000321110201), we get a palindrome (524011444110425).
The spelling of 102011123000224 in words is "one hundred two trillion, eleven billion, one hundred twenty-three million, two hundred twenty-four", and thus it is an aban number.
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