Base | Representation |
---|---|
bin | 101101111111110110111000… |
… | …001001100011001100110010 |
3 | 222112021201112210221001100000 |
4 | 231333312320021203030302 |
5 | 203003442101043320424 |
6 | 1554131254535210430 |
7 | 60416501054602662 |
oct | 5577667011431462 |
9 | 875251483831300 |
10 | 202300344120114 |
11 | 59506104329a19 |
12 | 1a8331b3b16a16 |
13 | 88b5ac0a29906 |
14 | 37d55631d21a2 |
15 | 185c469a523c9 |
hex | b7fdb8263332 |
202300344120114 has 192 divisors, whose sum is σ = 459441878837760. Its totient is φ = 66712990608000.
The previous prime is 202300344120113. The next prime is 202300344120167. The reversal of 202300344120114 is 411021443003202.
202300344120114 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 0 + 0 + 3 + 441 + 201 + 14 = 666.
202300344120114 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2023003441201142 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (202300344120113) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11909118729 + ... + 11909135715.
It is an arithmetic number, because the mean of its divisors is an integer number (2392926452280).
Almost surely, 2202300344120114 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 202300344120114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229720939418880).
202300344120114 is an abundant number, since it is smaller than the sum of its proper divisors (257141534717646).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202300344120114 is a wasteful number, since it uses less digits than its factorization.
202300344120114 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17907 (or 17895 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
Adding to 202300344120114 its reverse (411021443003202), we get a palindrome (613321787123316).
The spelling of 202300344120114 in words is "two hundred two trillion, three hundred billion, three hundred forty-four million, one hundred twenty thousand, one hundred fourteen".
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