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13461010220 = 225796150073
BaseRepresentation
bin11001000100101011…
…01011011100101100
31021202010021011121002
430202111223130230
5210032004311340
610103420055432
7654401461520
oct144225533454
937663234532
1013461010220
115788431239
122738094578
131366a55008
14919a91d80
1553bb67715
hex32256b72c

13461010220 has 24 divisors (see below), whose sum is σ = 32306424864. Its totient is φ = 4615203456.

The previous prime is 13461010183. The next prime is 13461010253. The reversal of 13461010220 is 2201016431.

13461010220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134610102202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13461010192 and 13461010201.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 48074897 + ... + 48075176.

It is an arithmetic number, because the mean of its divisors is an integer number (1346101036).

Almost surely, 213461010220 is an apocalyptic number.

13461010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13461010220 is an abundant number, since it is smaller than the sum of its proper divisors (18845414644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13461010220 is a wasteful number, since it uses less digits than its factorization.

13461010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96150089 (or 96150087 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13461010220 its reverse (2201016431), we get a palindrome (15662026651).

The spelling of 13461010220 in words is "thirteen billion, four hundred sixty-one million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 96150073 192300146 384600292 480750365 673050511 961500730 1346101022 1923001460 2692202044 3365252555 6730505110 13461010220