Base | Representation |
---|---|
bin | 110000000010001111… |
… | …0110110001000010000 |
3 | 100212021000012222021201 |
4 | 1200010132312020100 |
5 | 3142230012110000 |
6 | 115215525000544 |
7 | 10311156006055 |
oct | 1400436661020 |
9 | 325230188251 |
10 | 103154410000 |
11 | 3a824a80014 |
12 | 17baa253154 |
13 | 995c1a8235 |
14 | 4dc7d7d02c |
15 | 2a3b12e96a |
hex | 18047b6210 |
103154410000 has 100 divisors (see below), whose sum is σ = 250145437212. Its totient is φ = 41195968000.
The previous prime is 103154409971. The next prime is 103154410057. The reversal of 103154410000 is 14451301.
It can be written as a sum of positive squares in 10 ways, for example, as 81211320576 + 21943089424 = 284976^2 + 148132^2 .
It is a tau number, because it is divible by the number of its divisors (100).
It is a super-3 number, since 3×1031544100003 (a number of 34 digits) contains 333 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 103154410000.
It is an unprimeable number.
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 19 ways as a sum of consecutive naturals, for example, 6522102 + ... + 6537898.
Almost surely, 2103154410000 is an apocalyptic number.
103154410000 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 103154410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125072718606).
103154410000 is an abundant number, since it is smaller than the sum of its proper divisors (146991027212).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103154410000 is an equidigital number, since it uses as much as digits as its factorization.
103154410000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16478 (or 16457 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 19.
Adding to 103154410000 its reverse (14451301), we get a palindrome (103168861301).
The spelling of 103154410000 in words is "one hundred three billion, one hundred fifty-four million, four hundred ten thousand".
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