Base | Representation |
---|---|
bin | 101101101101001000001111… |
… | …101100000000101111110000 |
3 | 222100201200112001211211020100 |
4 | 231231020033230000233300 |
5 | 202321400241040124044 |
6 | 1551304125013112400 |
7 | 60224506344205500 |
oct | 5555101754005760 |
9 | 870650461754210 |
10 | 201013322583024 |
11 | 5905a2a9212036 |
12 | 1a66588b028700 |
13 | 8821623703233 |
14 | 378d14d5a7a00 |
15 | 1838c40227869 |
hex | b6d20fb00bf0 |
201013322583024 has 360 divisors, whose sum is σ = 655285723092000. Its totient is φ = 57355080072192.
The previous prime is 201013322582977. The next prime is 201013322583053. The reversal of 201013322583024 is 420385223310102.
201013322583024 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 1 + 33 + 22 + 583 + 0 + 24 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 201013322583024.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20023236597 + ... + 20023246635.
It is an arithmetic number, because the mean of its divisors is an integer number (1820238119700).
Almost surely, 2201013322583024 is an apocalyptic number.
201013322583024 is a gapful number since it is divisible by the number (24) 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 201013322583024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327642861546000).
201013322583024 is an abundant number, since it is smaller than the sum of its proper divisors (454272400508976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201013322583024 is a wasteful number, since it uses less digits than its factorization.
201013322583024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13605 (or 13589 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
Adding to 201013322583024 its reverse (420385223310102), we get a palindrome (621398545893126).
The spelling of 201013322583024 in words is "two hundred one trillion, thirteen billion, three hundred twenty-two million, five hundred eighty-three thousand, twenty-four".
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