Base | Representation |
---|---|
bin | 1001101000001101100… |
… | …0100111000101100100 |
3 | 120210221220210021010000 |
4 | 2122003120213011210 |
5 | 10202231213232400 |
6 | 203553435101300 |
7 | 14644042335402 |
oct | 2320330470544 |
9 | 523856707100 |
10 | 165413024100 |
11 | 641733812a5 |
12 | 280845a1830 |
13 | 127a1849c6c |
14 | 80127aa472 |
15 | 4481ccb600 |
hex | 2683627164 |
165413024100 has 135 divisors (see below), whose sum is σ = 536322357417. Its totient is φ = 44100378720.
The previous prime is 165413024071. The next prime is 165413024111. The reversal of 165413024100 is 1420314561.
It is a happy number.
The square root of 165413024100 is 406710.
It is a perfect power (a square), and thus also a powerful number.
165413024100 is a `hidden beast` number, since 1 + 6 + 5 + 413 + 0 + 241 + 0 + 0 = 666.
It can be written as a sum of positive squares in only one way, i.e., 59548688676 + 105864335424 = 244026^2 + 325368^2 .
It is a tau number, because it is divible by the number of its divisors (135).
It is a super-2 number, since 2×1654130241002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 36601641 + ... + 36606159.
Almost surely, 2165413024100 is an apocalyptic number.
165413024100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
165413024100 is the 406710-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 165413024100
165413024100 is an abundant number, since it is smaller than the sum of its proper divisors (370909333317).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
165413024100 is an frugal number, since it uses more digits than its factorization.
165413024100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9064 (or 4529 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
Adding to 165413024100 its reverse (1420314561), we get a palindrome (166833338661).
The spelling of 165413024100 in words is "one hundred sixty-five billion, four hundred thirteen million, twenty-four thousand, one hundred".
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