| Base | Representation |
|---|---|
| bin | 110000000100000001… |
| … | …0001111011010000000 |
| 3 | 100212102011101111010210 |
| 4 | 1200020002033122000 |
| 5 | 3142340242121344 |
| 6 | 115225454354120 |
| 7 | 10312511460600 |
| oct | 1401002173200 |
| 9 | 325364344123 |
| 10 | 103214020224 |
| 11 | 3a855695067 |
| 12 | 180061bb940 |
| 13 | 996b649963 |
| 14 | 4dd1c58c00 |
| 15 | 2a414a6db9 |
| hex | 180808f680 |
103214020224 has 384 divisors, whose sum is σ = 325981212480. Its totient is φ = 28844605440.
The previous prime is 103214020223. The next prime is 103214020229. The reversal of 103214020224 is 422020412301.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-3 number, since 3×1032140202243 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a self number, because there is not a number n which added to its sum of digits gives 103214020224.
It is not an unprimeable number, because it can be changed into a prime (103214020223) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223891354 + ... + 223891814.
Almost surely, 2103214020224 is an apocalyptic number.
103214020224 is a gapful number since it is divisible by the number (14) 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 103214020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162990606240).
103214020224 is an abundant number, since it is smaller than the sum of its proper divisors (222767192256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103214020224 is a wasteful number, since it uses less digits than its factorization.
103214020224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 728 (or 709 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 21.
Adding to 103214020224 its reverse (422020412301), we get a palindrome (525234432525).
The spelling of 103214020224 in words is "one hundred three billion, two hundred fourteen million, twenty thousand, two hundred twenty-four".
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