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13520110400 = 26528450069
BaseRepresentation
bin11001001011101110…
…01000001101000000
31021220020110202210122
430211313020031000
5210142122013100
610113330515412
7656020020326
oct144567101500
937806422718
1013520110400
115808828065
122753a35b68
131376078534
14923877d16
15541e3d985
hex325dc8340

13520110400 has 42 divisors (see below), whose sum is σ = 33267925590. Its totient is φ = 5408043520.

The previous prime is 13520110339. The next prime is 13520110423. The reversal of 13520110400 is 401102531.

It can be written as a sum of positive squares in 3 ways, for example, as 3521710336 + 9998400064 = 59344^2 + 99992^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4223435 + ... + 4226634.

Almost surely, 213520110400 is an apocalyptic number.

13520110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13520110400 is an abundant number, since it is smaller than the sum of its proper divisors (19747815190).

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

13520110400 is an equidigital number, since it uses as much as digits as its factorization.

13520110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8450091 (or 8450076 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 13520110400 its reverse (401102531), we get a palindrome (13921212931).

The spelling of 13520110400 in words is "thirteen billion, five hundred twenty million, one hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 8450069 16900138 33800276 42250345 67600552 84500690 135201104 169001380 211251725 270402208 338002760 422503450 540804416 676005520 845006900 1352011040 1690013800 2704022080 3380027600 6760055200 13520110400