| Base | Representation |
|---|---|
| bin | 1100001010001… |
| … | …10101000110000 |
| 3 | 21002221012100020 |
| 4 | 12011012220300 |
| 5 | 202103014300 |
| 6 | 14042123440 |
| 7 | 2345665410 |
| oct | 605065060 |
| 9 | 232835306 |
| 10 | 102001200 |
| 11 | 52639014 |
| 12 | 2a1b0580 |
| 13 | 18194652 |
| 14 | d792640 |
| 15 | 8e4c8a0 |
| hex | 6146a30 |
102001200 has 120 divisors (see below), whose sum is σ = 373452288. Its totient is φ = 23312640.
The previous prime is 102001199. The next prime is 102001201. The reversal of 102001200 is 2100201.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (102001199) and next prime (102001201).
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is not an unprimeable number, because it can be changed into a prime (102001201) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2329 + ... + 14471.
Almost surely, 2102001200 is an apocalyptic number.
102001200 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 102001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186726144).
102001200 is an abundant number, since it is smaller than the sum of its proper divisors (271451088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102001200 is a wasteful number, since it uses less digits than its factorization.
102001200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12171 (or 12160 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
The square root of 102001200 is about 10099.5643470399. The cubic root of 102001200 is about 467.2347051141.
Adding to 102001200 its reverse (2100201), we get a palindrome (104101401).
Subtracting from 102001200 its reverse (2100201), we obtain a palindrome (99900999).
It can be divided in two parts, 102001 and 200, that added together give a palindrome (102201).
The spelling of 102001200 in words is "one hundred two million, one thousand, two hundred".
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