| Base | Representation |
|---|---|
| bin | 110000001000001110… |
| … | …0000111100011010000 |
| 3 | 100212202222201002120000 |
| 4 | 1200100130013203100 |
| 5 | 3143132341142040 |
| 6 | 115251452450000 |
| 7 | 10316143121232 |
| oct | 1402034074320 |
| 9 | 325688632500 |
| 10 | 103355021520 |
| 11 | 3a918240463 |
| 12 | 18045479900 |
| 13 | 999191798a |
| 14 | 5006880252 |
| 15 | 2a4da5a130 |
| hex | 18107078d0 |
103355021520 has 200 divisors, whose sum is σ = 368669975784. Its totient is φ = 26816375808.
The previous prime is 103355021519. The next prime is 103355021527. The reversal of 103355021520 is 25120553301.
It is a happy number.
103355021520 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 5 + 502 + 152 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 23003182224 + 80351839296 = 151668^2 + 283464^2 .
It is a super-3 number, since 3×1033550215203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (103355021527) 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 39 ways as a sum of consecutive naturals, for example, 24222 + ... + 455298.
Almost surely, 2103355021520 is an apocalyptic number.
103355021520 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 103355021520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184334987892).
103355021520 is an abundant number, since it is smaller than the sum of its proper divisors (265314954264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103355021520 is a wasteful number, since it uses less digits than its factorization.
103355021520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 431139 (or 431124 counting only the distinct ones).
The product of its (nonzero) digits is 4500, while the sum is 27.
Adding to 103355021520 its reverse (25120553301), we get a palindrome (128475574821).
The spelling of 103355021520 in words is "one hundred three billion, three hundred fifty-five million, twenty-one thousand, five hundred twenty".
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