| Base | Representation |
|---|---|
| bin | 101111111101111100… |
| … | …0010110011111010000 |
| 3 | 100211212221200022211100 |
| 4 | 1133323320112133100 |
| 5 | 3141431041214300 |
| 6 | 115153331544400 |
| 7 | 10304454261516 |
| oct | 1377370263720 |
| 9 | 324787608740 |
| 10 | 103010101200 |
| 11 | 3a760575746 |
| 12 | 17b69a5b100 |
| 13 | 993831c906 |
| 14 | 4db2b364b6 |
| 15 | 2a2d626700 |
| hex | 17fbe167d0 |
103010101200 has 180 divisors, whose sum is σ = 360754614220. Its totient is φ = 27217244160.
The previous prime is 103010101177. The next prime is 103010101237. The reversal of 103010101200 is 2101010301.
It can be written as a sum of positive squares in 6 ways, for example, as 492307344 + 102517793856 = 22188^2 + 320184^2 .
It is a tau number, because it is divible by the number of its divisors (180).
It is a super-2 number, since 2×1030101012002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 261144 + ... + 523656.
Almost surely, 2103010101200 is an apocalyptic number.
103010101200 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 103010101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180377307110).
103010101200 is an abundant number, since it is smaller than the sum of its proper divisors (257744513020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103010101200 is a wasteful number, since it uses less digits than its factorization.
103010101200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 262646 (or 262632 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
Adding to 103010101200 its reverse (2101010301), we get a palindrome (105111111501).
It can be divided in two parts, 103010101 and 200, that added together give a palindrome (103010301).
The spelling of 103010101200 in words is "one hundred three billion, ten million, one hundred one thousand, two hundred".
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