| Base | Representation |
|---|---|
| bin | 101111100011110011… |
| … | …0111100100010000000 |
| 3 | 100202121211111020011200 |
| 4 | 1133013212330202000 |
| 5 | 3133132034420300 |
| 6 | 114530323141200 |
| 7 | 10243645136403 |
| oct | 1370746744200 |
| 9 | 322554436150 |
| 10 | 102133123200 |
| 11 | 3a350538139 |
| 12 | 17964214800 |
| 13 | 9828727014 |
| 14 | 4d2c48dd3a |
| 15 | 29cb646200 |
| hex | 17c79bc880 |
102133123200 has 288 divisors, whose sum is σ = 364893440340. Its totient is φ = 27201208320.
The previous prime is 102133123199. The next prime is 102133123201. The reversal of 102133123200 is 2321331201.
102133123200 is a `hidden beast` number, since 10 + 2 + 1 + 331 + 2 + 320 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (102133123199) and next prime (102133123201).
It can be written as a sum of positive squares in 6 ways, for example, as 58304863296 + 43828259904 = 241464^2 + 209352^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (102133123201) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29748684 + ... + 29752116.
Almost surely, 2102133123200 is an apocalyptic number.
102133123200 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 102133123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182446720170).
102133123200 is an abundant number, since it is smaller than the sum of its proper divisors (262760317140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102133123200 is a wasteful number, since it uses less digits than its factorization.
102133123200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4496 (or 4476 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 102133123200 its reverse (2321331201), we get a palindrome (104454454401).
The spelling of 102133123200 in words is "one hundred two billion, one hundred thirty-three million, one hundred twenty-three thousand, two hundred".
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