| Base | Representation |
|---|---|
| bin | 100011110000110… |
| … | …1001010000110100 |
| 3 | 10002122000102102020 |
| 4 | 1013201221100310 |
| 5 | 4424200031400 |
| 6 | 315024113140 |
| 7 | 41510564253 |
| oct | 10741512064 |
| 9 | 3078012366 |
| 10 | 1200002100 |
| 11 | 566408380 |
| 12 | 295a657b0 |
| 13 | 1617c541b |
| 14 | b553079a |
| 15 | 7053b2a0 |
| hex | 47869434 |
1200002100 has 144 divisors (see below), whose sum is σ = 3836421120. Its totient is φ = 287164800.
The previous prime is 1200002081. The next prime is 1200002101. The reversal of 1200002100 is 12000021.
It is a happy number.
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.
1200002100 is a modest number, since divided by 2100 gives 1200 as remainder.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1200002101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258399 + ... + 263001.
Almost surely, 21200002100 is an apocalyptic number.
1200002100 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 1200002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918210560).
1200002100 is an abundant number, since it is smaller than the sum of its proper divisors (2636419020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1200002100 is a wasteful number, since it uses less digits than its factorization.
1200002100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4710 (or 4703 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
The square root of 1200002100 is about 34641.0464622534. The cubic root of 1200002100 is about 1062.6591890664.
Adding to 1200002100 its reverse (12000021), we get a palindrome (1212002121).
1200002100 divided by its reverse (12000021) gives a square (100 = 102).
The spelling of 1200002100 in words is "one billion, two hundred million, two thousand, one hundred".
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