| Base | Representation |
|---|---|
| bin | 10111001100011100011010… |
| … | …111011011011000000100000 |
| 3 | 111101012002012121221210120200 |
| 4 | 113030130122323123000200 |
| 5 | 101332313412312011112 |
| 6 | 1000542503110305200 |
| 7 | 30325665230401134 |
| oct | 2714343273330040 |
| 9 | 441162177853520 |
| 10 | 102010220032032 |
| 11 | 2a55a322897324 |
| 12 | b536320358200 |
| 13 | 44bc6a3b46940 |
| 14 | 1b2946cb3d3c4 |
| 15 | bbd7beb1ecdc |
| hex | 5cc71aedb020 |
102010220032032 has 432 divisors, whose sum is σ = 324626700729240. Its totient is φ = 30170264592384.
The previous prime is 102010220032013. The next prime is 102010220032037. The reversal of 102010220032032 is 230230022010201.
102010220032032 is a `hidden beast` number, since 10 + 2 + 0 + 102 + 200 + 320 + 32 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 77942129738256 + 24068090293776 = 8828484^2 + 4905924^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 102010220031996 and 102010220032014.
It is not an unprimeable number, because it can be changed into a prime (102010220032037) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5594803588 + ... + 5594821820.
Almost surely, 2102010220032032 is an apocalyptic number.
102010220032032 is a gapful number since it is divisible by the number (12) 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 102010220032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162313350364620).
102010220032032 is an abundant number, since it is smaller than the sum of its proper divisors (222616480697208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102010220032032 is a wasteful number, since it uses less digits than its factorization.
102010220032032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18745 (or 18507 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 102010220032032 its reverse (230230022010201), we get a palindrome (332240242042233).
The spelling of 102010220032032 in words is "one hundred two trillion, ten billion, two hundred twenty million, thirty-two thousand, thirty-two".
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