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13263412100 = 2252132634121
BaseRepresentation
bin11000101101000111…
…11001101110000100
31021020100110010221012
430112203321232010
5204130413141400
610032040541352
7646452066641
oct142643715604
937210403835
1013263412100
115696939904
1226a1a81858
131334b2c053
148db736dc8
15529634d35
hex3168f9b84

13263412100 has 18 divisors (see below), whose sum is σ = 28781604474. Its totient is φ = 5305364800.

The previous prime is 13263412081. The next prime is 13263412111. The reversal of 13263412100 is 121436231.

13263412100 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 3 ways, for example, as 1654211584 + 11609200516 = 40672^2 + 107746^2 .

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 5 ways as a sum of consecutive naturals, for example, 66316961 + ... + 66317160.

Almost surely, 213263412100 is an apocalyptic number.

13263412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13263412100 is an abundant number, since it is smaller than the sum of its proper divisors (15518192374).

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

13263412100 is a wasteful number, since it uses less digits than its factorization.

13263412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132634135 (or 132634128 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 13263412100 its reverse (121436231), we get a palindrome (13384848331).

The spelling of 13263412100 in words is "thirteen billion, two hundred sixty-three million, four hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 132634121 265268242 530536484 663170605 1326341210 2652682420 3315853025 6631706050 13263412100