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13052100224 = 27467321821
BaseRepresentation
bin11000010011111011…
…10011111010000000
31020200121211101112102
430021331303322000
5203212314201344
65555051445532
7641305010222
oct141175637200
936617741472
1013052100224
115598630099
1226431568a8
131300114037
148bb64c412
15515ce3e4e
hex309f73e80

13052100224 has 32 divisors (see below), whose sum is σ = 26008987140. Its totient is φ = 6524354560.

The previous prime is 13052100223. The next prime is 13052100227. The reversal of 13052100224 is 42200125031.

13052100224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11620840000 + 1431260224 = 107800^2 + 37832^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 13052100196 and 13052100205.

It is not an unprimeable number, because it can be changed into a prime (13052100223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 587234 + ... + 609054.

Almost surely, 213052100224 is an apocalyptic number.

It is an amenable number.

13052100224 is a deficient number, since it is larger than the sum of its proper divisors (12956886916).

13052100224 is an equidigital number, since it uses as much as digits as its factorization.

13052100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26508 (or 26496 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 13052100224 its reverse (42200125031), we get a palindrome (55252225255).

The spelling of 13052100224 in words is "thirteen billion, fifty-two million, one hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 4673 9346 18692 21821 37384 43642 74768 87284 149536 174568 299072 349136 598144 698272 1396544 2793088 101969533 203939066 407878132 815756264 1631512528 3263025056 6526050112 13052100224